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Recent questions tagged permutations-and-combinations

How many 10 digit numbers are there using the digits 1 and 2 ?

asked Aug 15, 2013 by rvidyagovindarajan_1

1 answer

The number of ways in which four letters of the word $MATHEMATICS$ can be arranged is ?

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?

asked Aug 15, 2013 by rvidyagovindarajan_1

1 answer

The no. of points $(x,y,z)$ in space whose coordinates are negative integers and $x+y+z+12=0$ is

asked Aug 15, 2013 by rvidyagovindarajan_1

1 answer

The number of signals that can be formed using 6 flags of different colours taking 1 or more flags at a time is ?

asked Aug 14, 2013 by rvidyagovindarajan_1

1 answer

How many three digit numbers that are divisible by 3 can be formed using the digits 0,1,2,3,4,5 without repeating the digits?

asked Aug 14, 2013 by rvidyagovindarajan_1

1 answer

How many 9 digit numbers can be formed from the numbers 223355888 so that the odd digits occupy even positions.

asked Aug 14, 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

asked Aug 14, 2013 by rvidyagovindarajan_1

1 answer

Four dice are rolled. The no. of possible outcomes in which at least one dice shows 2 is ?

asked Aug 14, 2013 by rvidyagovindarajan_1

1 answer

The number of ways in which $4n$ students can be distributed equally among $4$ sections = ?

asked Aug 14, 2013 by rvidyagovindarajan_1

1 answer

In an examination a candidate has to pass in each of the four subjects. In how many ways he can fail?

asked Aug 13, 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?

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 ?

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?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

A polygon has 44 diagonals. The no. of sides of the polygon = ?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of 7 digit numbers that can be formed using the digits $1,2,3,2,3,3,4$ is?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of ways in which 6 persons can be seated in a circular table so that two particular persons are never together is?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

$^{50}C_4+\sum\limits^{6}_{r=1}$$ ^{56-r}C_3=?$

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of ways in which 6 men and 5 women can sit at a round table so that no two women sit together is?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

There are $10$ lamps in a hall. Each of them can be switched on independently. The no. of ways in which the hall can be illuminated is?

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 $n=?$

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

The no. of diagonals of $n$ sided polygon =?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

1.1! + 2.2! + 3.3! + ......... + n.n! = ?

asked Aug 13, 2013 by rvidyagovindarajan_1

1 answer

What is the 7th word in the arrangement of the permuted words formed by the letters of the word 'SWISS' as per the alphabetical order as in dictionary?

asked Aug 12, 2013 by rvidyagovindarajan_1

1 answer

The no. of arrangements of the letters of the word 'BANANA' in which the 2 $N^s$ do not come adjacently is?

asked Aug 12, 2013 by rvidyagovindarajan_1

1 answer

The no. of arrangements of the letters of the word 'BANANA' in which the 2 $n^s$ do not come adjacently is?

asked Aug 12, 2013 by rvidyagovindarajan_1

0 answers

The letters of the word 'COCHIN' are permuted and all the permutations are arranged in alphabetical order as in Dictionary. The no. of words that appear before the word 'COCHIN' is?

asked Aug 12, 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?

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?

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 ?

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.

asked Aug 11, 2013 by rvidyagovindarajan_1

1 answer

The number of positive integral solutions of the equation $xyz=30$ is ?

asked Aug 11, 2013 by rvidyagovindarajan_1

1 answer

The studens of a class take a test having 10 questions of true or false objective type questions. No two students answer are same. None of the students has got all the answers correct. How many students are there in the class.

asked Aug 9, 2013 by rvidyagovindarajan_1

1 answer

The number of seven digit integers whose sum of the digits is ten, formed by using the digits 1, 2 and 3 only is

asked Aug 9, 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?

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 ?

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

The smallest positive natural number $n$ such that $n!$ is divisible by $990$ is ?

asked Aug 8, 2013 by rvidyagovindarajan_1

1 answer

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