Permutations and Combinations questions
785 published questions with worked solutions.
- The range of the function f(x)= ^ 7-x P_ x-3 is
- If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a...
- A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men....
- From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a...
- The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4, (repetition of digits is not...
- All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in...
- The number of four-digit numbers strictly greater than 4321 that can be formed using the digits 0, 1, 2, 3, 4, 5 (repetition of...
- A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at...
- Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar...
- n-digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct numbers can be...
- The number of four letter words that can be formed using the letters of the word BARRACK is -
- The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is...
- The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits...
- Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from...
- The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct, is:
- Let S = 1, 2, 3, …, 100 . The number of non-empty subsets A of S such that the product of elements in A is even is:
- Consider three boxes, each containing 10 balls labelled 1, 2, …, 10. Suppose one ball is randomly drawn from each of the boxes....
- The number of functions f from 1, 2, 3, …, 20 onto 1, 2, 3, …, 20 such that f(k) is a multiple of 3, whenever k is a multiple of...
- A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be...
- If the number of five digit numbers with distinct digits and 2 at the 10^ th place is 336 k, then k is equal to
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