Permutations and Combinations questions
785 published questions with worked solutions.
- There are 6 letters and 3 post-boxes. The number of ways in which these letters can be posted, is
- Consider the following statements: 1. There are 12 points in a plane of which only 5 are collinear, then the number of straight...
- Let A be the set of 4 digit number a_1a_2a_3a_4, where a_1<a_2<a_3<a_4, then n(A) is equal to
- A car will hold 2 in the front seat and 1 in the rear seat. If among 6 persons 2 can drive, then number of ways in which the car...
- In an election there are 8 candidates, out of which 5 are to be chosen. If a voter may vote for any number of candidates but not...
- The letters of the word MODESTY are written in all possible orders and these words are written out as in a dictionary, then the...
- There are 5 historical moments, 6 gardens and 7 shopping malls in the city. In how many ways a tourist can visit the city, if he...
- The number of numbers of 4 digits which are not divisible by 5, are
- In a circus there are ten cages for accommodating ten animals. Out of these four cages are so small that five out of 10 animals...
- A bag contains 3 black, 4 white and 2 red balls, all the balls being different. The number of selections of at most 6 balls...
- The number of ways in which five identical balls can be distributed among ten identical boxes such that no box contains more than...
- If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the...
- How many numbers lying between 10 and 1000 can be formed from the digits 1,2,3,4,5,6,7,8,9 (repetition of digits is allowed)?
- The numbers of times the digits 3 will be written when listing the integers from 1 to 1000 is
- In an examination of 9 papers a candidate has to pass in more papers, then the number of papers in which he fails in order to be...
- Let A= x_1,x_2,x_3,x_4,x_5,x_6 , B= y_1,y_2,y_3,y_4,y_5,y_6 . Then the number of one-one mapping from A to B such that f(x_i)...
- Statement 1: From a group of 8 men and 4 women a team of 5, including at least one woman can be formed in 736 ways. Statement 2:...
- In how many ways can 15 members of a council sit along a circular table, when the Secretary is to sit on one side of the chairman...
- How many even numbers of 3 different digits can be formed from the digits 1,2,3,4,5,6,7,8,9 (repetition of digits is not allowed)?
- The maximum number of points of intersection of 6 circles is
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