Permutations and Combinations questions
785 published questions with worked solutions.
- The number of ways in which 5 pictures can be hung from 7 picture nails on the wall is
- The total number of different combinations of letters which can be made from the letters of the word MISSISSIPPI is
- The total number of natural numbers of six digits that can be made with digits 1,2,3,4, if all digits are to appear in the same...
- There are n-points in a plane of which p points are collinear. How many lines can be formed from these points?
- If ^ 35 C_ n+7 = ^ 35 C_ 4n-2 , then all the values of n are given by
- Seven women and seven men are to sit round a circular table such that there is a man on either side of every women; the number of...
- The number of all four digit numbers which are divisible by 4 that can be formed from the digits 1,2,3,4 and 5 is
- Out of 10 consonants 4 vowels, the number of words that can be formed using six consonants and three vowels is
- A man invites a party to (m+n) friends to dinner and places m at one round table and n at another. The number of ways of...
- The smallest value of x satisfying the inequality ^ 10 C_ x-1 >2 ^ 10 C_x is
- If ^ k+5 P_ k+1 = 11(k-1) 2 ^ k+3 P_k, then the values of k are
- Three dice are rolled. The number of possible outcomes in which at least one die shows 5 is
- In Q.65, the number of ways in which A_1 and A_2 are next to each other is
- The number of ways in which four persons be seated at a round table, so that all shall not have the same neighbours in any two...
- The maximum number of points of intersection of 8 circles is
- The number of ways in which any four letters can be selected from the word 'CORGOO' is
- The total number of selections of fruit which can be made from 3 bananas, 4 apples and 2 oranges, is
- If m and n are positive integers more than or equal to 2, m>n, then (mn)! is divisible by
- The number of straight lines can be formed out of 10 points of which 7 are collinear
- All possible two-factor products are formed from the numbers 1,2, ,100. The number of factors out of the total obtained which are...
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