exam Maths Puzzle Numerical Ability

Could you please help me with solving this?

Without writing them down what are the number of subsets of the set A = {a, b, c, d, e, f}? Of set B = {a, b, c, d, e, f, g, h, i, j}?

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exam Other Question

The factors of x^2(y-z)+y^2(z-x)+z^2(x-y)
(a) (x+y+z)(xy+yz+zx) (b) (x-y)(y-z)(z-x)
(c) (x-y-z)(xy-yz-zx) (d) (x-y)(y-z)(x-z) Problem: Find the number of permutations of the first 8 letters of the alphebet for each situation.

25. taking 5 letters at a time