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Recent questions tagged combinations
Questions
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
asked
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
asked
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
asked
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
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_3=220$, then $n=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
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
asked
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
asked
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
asked
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
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_{12}=^nC_8,$ then $n = ?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
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
asked
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
asked
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
asked
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
asked
Sep 5, 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
asked
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
asked
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
asked
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
asked
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
asked
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
asked
Sep 3, 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
asked
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
asked
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
asked
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
asked
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
asked
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
asked
Aug 27, 2013
by
rvidyagovindarajan_1
1
answer
In a tournament, each participant should play one game with other .Two participants fell ill after playing 3 games.each. If total games played is 84, the no. of participants in the tournament is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 27, 2013
by
rvidyagovindarajan_1
1
answer
In an election no. of candidates exceeds the number to be elected by 2. If a man can vote in 56 ways, then the no. of candidates is
jeemain
math
class11
ch7
permutations-and-combinations
combinations
difficult
asked
Aug 27, 2013
by
rvidyagovindarajan_1
1
answer
The number of ways in which we can select a committee from 4 men and 6 women so that the committee includes at least two men and at least twice as many women as men is?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 27, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways can 10 different marbles be distributed between 2 boys so that one of them get 7?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 20, 2013
by
rvidyagovindarajan_1
1
answer
Find the number of rectangles in the figure.
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 20, 2013
by
rvidyagovindarajan_1
1
answer
In how many ways can 7 plus (+) signs and 4 minus (-) signs can be arranged in a row so that no two minus signs are together?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 20, 2013
by
rvidyagovindarajan_1
1
answer
How many chords can be drawn for a circle with 21 points on the circle?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 20, 2013
by
rvidyagovindarajan_1
1
answer
A tea paty is arranged for 16 people along two sides of a long table with 8 chairs on either sides. Four men wish to sit on one side and 2 on other side. In how many ways they can be seated?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 20, 2013
by
rvidyagovindarajan_1
1
answer
How many number of times the digit '5' appear in listing the integers from 1 to 1000?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
difficult
asked
Aug 15, 2013
by
rvidyagovindarajan_1
1
answer
How many 6 digit numbers can be formed using the digits $1,2,3$ so that the digit 1 occur 2 times in each number?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
difficult
asked
Aug 15, 2013
by
rvidyagovindarajan_1
1
answer
The number of ways in which a cricket team of eleven players can be selected from 22 players which includes a particular two and excludes a particular 4 players is
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 14, 2013
by
rvidyagovindarajan_1
1
answer
At an election a voter may vote for any no. of candidates but not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If every voter votes for atleast one candidate, then no. of ways in which a voter can vote is?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
difficult
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
The no. of positive integers satisfying the inequation $^{n+1}C_{n-2}-^{n+1}C_{n-1}\leq 50$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
If one person shakes hand with another only once,the no. of hand shakes is 66. How many persons are there?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
A polygon has 44 diagonals. The no. of sides of the polygon = ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
$^{50}C_4+\sum\limits^{6}_{r=1}$$ ^{56-r}C_3=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
If $T_n$ denotes no. of triangles formed by the vertices of a regular $n$ sided polygon and if $T_{n+1}-T_n=21$, then $n=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
The no. of diagonals of $n$ sided polygon =?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
There are 12 points in plane out of which 5 points are collinear. How many different lines can be drawn using these points?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 12, 2013
by
rvidyagovindarajan_1
1
answer
There are 12 points in a plane out of which 7 points lie on a st. line (collinear). How many triangles can be formed using these points as vertices?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 12, 2013
by
rvidyagovindarajan_1
1
answer
The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 12, 2013
by
rvidyagovindarajan_1
1
answer
Four couples (husband and wife) decide to form a committee of 4 members. How many ways this can be done so that no couple finds a place.
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 11, 2013
by
rvidyagovindarajan_1
1
answer
There are two urns. Urn A has 3 distinct red balls and Urn B has 9 distinct blue balls. From each urn two balls are drawn at random and then transfered to other. The no. of ways in which this can be done is?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 9, 2013
by
rvidyagovindarajan_1
1
answer
A student is to answer $10$ questions out of $13$ in an examination, so that he must choose at least $4$ from first $5$ questions. The no. of choices available to him is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 8, 2013
by
rvidyagovindarajan_1
1
answer
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