0 votes
3
If A and B are subsets  of set X={1,2,3........100} and A∆B denotes set of all elements of X which belong to exactly one of A or B.Then total no of subsets of X such t...
18 votes
6
How many $4 \times 4$ matrices with entries from ${0, 1}$ have odd determinant?Hint: Use modulo $2$ arithmetic.$20160$$32767$$49152$$57343$$65520$