Question
If A and B are subsets of set X = { 1,2,3, ... 99,100 } and A # B denote the set of all elements of X which belogs to exactly A or B . Total number of subsets of X such that A#B = { 2,4,6,.. 98,100} is _____
My approach
Every even Number can appear in either of 2 subsets (A-B) or (B-A) ie Every even number can appear either in only A or in only B
Every odd number can appear only in A$\cap$ B
how to proceed further ...?