Let `A=(a,b,c) and B-(a,b,d,e,f)`. How many sets C consisting of characters from the English alphabet can be constructed so that `CsubeB` and such that `AnnC `also has one element and `C!subeA`.

Let the set A={a,b,c,d,e} and P and Q are two subsets of A.The number ofways inwhich P and Q can be selected so that P nn Q has at least one common element.is a^(b)-c^(b) where a,b,c are coprime then find (a+c-b)

In how many ways can 13 different alphabets (a, b, c, ... m) be arranged so that the alphabets f and g never come together?

Consider a set of vowels letters , V = {a, e, i, o, u}. Also consider the set A, of all letters in the English alphabet. A = {a, b, c, d, ….., z}. Identify the universal set and the subset in the given example.

If A={a,b,c,d}. How many subsets does the set A have? (A) 5 (B) 6 (C) 16 (D) 65

If A={a,b,c,d}. How many subsets does the set A have? (A) 5 (B) 6 (C) 16 (D) 65

If A={a,b,c,d}. How many subsets does the set A have? (A) 5 (B) 6 (C) 16 (D) 65

If A={a,b,c,d}. How many subsets does the set A have? (A) 5 (B) 6 (C) 16 (D) 65

A set B contain 2007 elements. Let C be the set consisting of subsets of B which contain at most 1003 elements. The number of elements is C is