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Recent questions tagged permutations-and-combinations

How many different pair of letters ( , ) can be made from the letters if the word 'STATICS'?

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.?

asked 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?

asked 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?

asked 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 ?

asked 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 ?

asked 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?

asked 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?

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

asked 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 ?

asked 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?

asked 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?

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?

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?

asked 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 $\large\frac{x}{y}=?$

asked 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?

asked 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 ?

asked 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?

asked 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?

asked 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 ?

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 ?

asked 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 $1,2,3,...............n$?

asked 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 $\overrightarrow r.\overrightarrow a=5$ ?

asked Sep 3, 2013 by rvidyagovindarajan_1

1 answer

In how many ways 9 identical marbles can be placed in 3 identical boxes?

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?

asked 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)

asked 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 ?

asked 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 ?

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?

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.)

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?

asked Aug 31, 2013 by rvidyagovindarajan_1

1 answer

In how many ways can 5 identical rings can be worn on 4 fingers?

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 ?

asked Aug 27, 2013 by rvidyagovindarajan_1

1 answer

The no. of rectangles in a chess board is ?

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 ?

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

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?

asked Aug 27, 2013 by rvidyagovindarajan_1

1 answer

Ten persons are to speak in a meeting. The no. of ways in which this can be arranged if A wants to speak before B and B wants to speak before C, is ?

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?

asked Aug 20, 2013 by rvidyagovindarajan_1

1 answer

In how many ways can 3 girls and 9 boys can be seated in two vans having 3 numbered seats in the front and 4 numbered seats at the back so that the 3 girls are to be seated together in the back row?

asked Aug 20, 2013 by rvidyagovindarajan_1

1 answer

How many numbers are there between 20000 and 30000 in which the digits are 2,3,5,6,7 and each digit can be repeated any number of times.

asked Aug 20, 2013 by rvidyagovindarajan_1

1 answer

Find the number of rectangles in the figure.

asked Aug 20, 2013 by rvidyagovindarajan_1

1 answer

The largest natural numer $n$ for which $(33)!$ is divisible by $2^n$ is ?

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?

asked Aug 20, 2013 by rvidyagovindarajan_1

1 answer

How many chords can be drawn for a circle with 21 points on the circle?

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?

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?

asked Aug 15, 2013 by rvidyagovindarajan_1

1 answer

Five digit numbers are formed using the digits 0,1,2,3,4. Out of these numbers in how many numbers at least one number is repeated?

asked Aug 15, 2013 by rvidyagovindarajan_1

1 answer

Total no. of words with or without meaning formed by 3 vowels and 3 consonants taken from 5 vowels and 6 consonants is?

asked Aug 15, 2013 by rvidyagovindarajan_1

1 answer

The sum of the digits in unit place of all the numbers formed using 3,4,5,6 taking all at a time is?

asked Aug 15, 2013 by rvidyagovindarajan_1

1 answer

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