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Recent questions and answers in Permutations and Combinations
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JEEMAIN and NEET
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Class11
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Permutations and Combinations
Ballot Theorum
#iitmains
answered
Mar 24, 2015
by
vijayalakshmi.r
1
answer
In how many ways can a mixed doubles game in tennis can be arranged from 5 couples, if no husband and wife play in the same game?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
mock
answered
Nov 23, 2013
by
rvidyagovindarajan_1
1
answer
$S=\{1,2,3..............12\}$ $A,B,C $ are disjoint equivalent subsets of $S$ so that $A\cup B\cup C=S$. How many such sets $A,B,C$ can be formed?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 14, 2013
by
rvidyagovindarajan_1
1
answer
There are 9 Judges in a beauty contest. A particular candidate is selected as the winner if she gets maximum number of votes in favour. In how many ways a particular candidate is declared the winner?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
For $n\geq 4$, $1!+2!+3!+4!+.....n!$ is always
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
There are 10 men. 5 of them are to be selected for a team. In how many ways this can be done if a particular person is to be selected in the team and if A is selected then B also is to be selected?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_3=220$, then $n=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^{a^2-a}C_2=^{a^2-a}C_4,$ then $a=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
$^nC_r+2.^nC_{r-1}+^nC_{r-2}=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $ ^{n-1}C_6+^{n-1}C_7>^nC_6$, then $n$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nP_r=720^nC_r$, then r=?
jeemain
math
class11
ch7
permutations-and-combinations
permuations-and-combinations
easy
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_{r-1}=36$, $^nC_r=84$ and $^nC_{r+1}=126$, then $r$ = ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_{12}=^nC_8,$ then $n = ?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways a mixed double games can be arranged from 8 married couples if no husband and wife play in the same game?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
$(100)!+1$ is divisible by?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
A bag contains 3 black 4 white and 2 red balls, all balls being different. The number of selection of at the most 6 balls so that each selection has balls of all the 3 colours is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
How many different pair of letters ( , ) can be made from the letters if the word 'STATICS'?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
There are $20$ boxes numbered $1,2,......20$. Five boxes are selected at random and are arranged in ascending order. In how many ways this can be done so that no. $10$ is present in each selection and it comes in $3rd$ place in the arrangement.?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
There are 7 identical black balls and 4 identical white balls. In how many ways can they be arranged in a row so that no two white balls are adjacent?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
20 identical marbles of green colour and 20 identical marbles of white colour can be arranged in a row in how many ways so that no two same colour marbles are adjacent?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
There are $10$ white and $10$ black balls each set numbered 1,2,3......10. The no. of ways in which they can be arranged so that no two adjacent balls are of same colour is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
The no. of ways in which 20 different pearls of two colours can be set alternatively on a necklace, there being 10 pearls of each colour, is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
answered
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
16 different things are to be distributed among 3 persons A,B,C so that B gets 1 more than A and C get 2 more than B. In how many ways this can be done?
jeemain
math
class11
ch7
permutations-and-combinations
medium
answered
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
Four couples (husband and wife)decide to form a committee of four members. How many committees can be formed so that no couple finds a place in it?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
The no. of ways in which any four letters can be selected from the word 'ENTREE' is
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
The total no. of words that can be formed using the alphabets $a,b,c,d,e,f$ taking 3 at a time so that each word has atleast one vowel is ?
jeemain
math
class11
ch7
permutations-and-combinations
easy
answered
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
The no. of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are not separated is?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
answered
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
How many 6 digit numbers can be formed using the digits 1,2,3,4 so that each of the digits should come atleast once in each number?
jeemain
math
class11
ch7
permutations-and-combinations
medium
answered
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
On the occasion of Diwali each student of a class sends greeting cards to others. If there are 20 students in a class, then how many greeting cards were exchanged?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 4, 2013
by
rvidyagovindarajan_1
1
answer
A Guide with 8 persons takes 3 at a time in a boat at a time as often as he can without taking the same 3 persons more than once. The no. of times each person will go in the boat is?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
Different words are formed using the letters of the word 'INTEGER'. If out of these words, $x$ is number of words in which $I\:and\:N$ are never together and $y$ is no. of words which begin with I and end with R, then $\large\frac{x}{y}=?$
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The number of numbers that can be formed by using digits 1,1,2,2,3,3,4, so that the odd digits always occupy odd places is?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The no. of ways in which 10 students $A_1,A_2,.....A_{10}$ can be ranked so that $A_1$ is above $A_2$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The no. of words containing 4 alphabets having equal no. of $vowels$ and $consonants$ (repetition of letters allowed) is?
jeemain
math
class11
ch7
permutations-and-combinations
easy
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
A coin is tossed 6 times In how many ways we can get the $3^{rd} $ head in the $5^{th}$ toss?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
medium
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The number of 4 digit numbers divisible by 3 that can be formed by 4 different even digits (0,2,4,5,6,8) is ?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The total number of 4 digit numbers in which the digits are in descending order is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
If $n$ is odd, then in how many ways $3$ numbers that are in A.P. can be selected from the numbers $1,2,3,...............n$?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The position vector of a point $P$ is given by $\overrightarrow r=x\hat i+y\hat j+z\hat k$, where $x,y,z\in N$. Position vector of point A is given by $\overrightarrow a=\hat i+\hat j+\hat k$. How many points P are possible so that $\overrightarrow r.\overrightarrow a=5$ ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways 9 identical marbles can be placed in 3 identical boxes?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
How many 7 digit numbers are there using the digits,1,2,3 and '2' should occur 2 times in each of the number?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
How many 6 digit numbers can be formed using the digits 0,1,3,5,7,9 that are divisible by 5? (digits should not be repeated)
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
answered
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
The no. of ways in which 16 prizes can be distributed among 4 students so that each student get atleast 3 prizes is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
difficult
answered
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
There are 4 balls of different colour and 4 boxes of colours, same as that of balls. The no. of ways in which the balls, one each in a box,could be placed such that a ball does not go to a box of its own colour is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
answered
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
There are Five balls of different colour and 3 boxes of different size. The balls are to be placed in the boxes so that no box is empty. In how many ways this can be done?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
There are 2 white 3 black and 4 red balls. The no. of ways in which these balls can be arranged so that no two red balls can be together is? (Two balls of same colour are identical.)
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
A person wishes to make as many different parties as he can out of 10 of his friends. Each party consist of same no. of friends. Out of these parties in how many parties a particular friend will be found?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
answered
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways can 5 identical rings can be worn on 4 fingers?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
answered
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
Two lines intersect at O. Points $A_1,A_2,........A_n$ are taken on one of them and $B_1,B_2,........B_n$ on other. The no. of triangles that can be drawn from with the help of these 2n points and point 'O' is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
difficult
answered
Aug 27, 2013
by
rvidyagovindarajan_1
1
answer
The no. of rectangles in a chess board is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
answered
Aug 27, 2013
by
rvidyagovindarajan_1
1
answer
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