Permutations and Combinations questions
785 published questions with worked solutions.
- The number of strictly increasing functions f from the set 1, 2, 3, 4, 5, 6 to the set 1, 2, 3, , 9 such that f(i) i for 1 i 6,...
- The largest n N, for which 7^n divides 101!, is:
- Let ABC be a triangle. Consider four points p_1,p_2,p_3,p_4 on the side AB, five points p_5,p_6,p_7,p_8,p_9 on the side BC and...
- Let S be the set of the first 11 natural numbers. Then the number of elements in A = B S: n(B) 2 and the product of all elements...
- The number of 4-letter words, with or without meaning, which can be formed using the letters PQRPQRSTUVP, is _____。
- The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one orange, is
- Let S denote the set of 4-digit numbers abcd such that a > b > c > d and P denote the set of 5-digit numbers having product of...
- The number of numbers greater than 5000, less than 9000 and divisible by 3, that can be formed using the digits 0,1,2,5,9, if the...
- The letters of the word "UDAYPUR" are written in all possible ways with or without meaning and these words are arranged as in a...
- The largest value of n, for which 40^n divides 60!, is
- Let S = 1,2,3,4,5,6,7,8,9 . Let x be the number of 9-digit numbers formed using the digits of the set S such that only one digit...
- Three persons enter in a lift at the ground floor. The lift will go upto the 10^ th floor. The number of ways, in which the three...
- From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in...
- In a group of 3 girls and 4 boys, there are two boys B_1 and B_2. The number of ways, in which these girls and boys can stand in...
- The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is...
- The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come...
- Let S = p_1, p_2, ...., p_ 10 be the set of first ten prime numbers. Let A = S P, where P is the set of all possible products of...
- Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can...
- Number of functions f : 1, 2, , 100 0, 1 , that assign 1 to exactly one of the positive integers less than or equal to 98, is...
- The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, such that...
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