Permutations and Combinations questions
6 published questions with worked solutions.
- If S is a set with 10 elements and A= (x,y):x,y S, x y , then the number of elements in A is
- Let X and Y be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then, n(X Y) is equal...
- If A= n: n^3+5n^2+2 n is an integer , n itself is an integer , then the number of elements in the set A is
- If A= p:p= (n+2)(2n^5+3n^4+4n^3+5n^2+6) n^2+2n , n,p Z^+ , then the number of elements in the set A is
- Let X= 1,2,3,4,5 . The number of different ordered pairs (Y,Z) that can be formed such that Y X, Z X and Y Z is empty, is (AIEEE...
- Let S= 1,2,3,4,5,6,9 . Then the number of elements in the set T= A S:A and the sum of all the elements of A is not a multiple of...
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