NIMCET 2016 Mathematics Question 27 with Solution

Question 27

Mathematics Sets Easy

Let S = {1, 2, ..., n}. The number of possible pairs of the form (A, B) with A &sube; B for subsets A, B of S is

(A) 2n

(B) 3n

(C) n!

(D) \({\rm{\Sigma }}_{k = 0}^n\left( {\begin{array}{*{20}{c}} n\\ k \end{array}} \right)\left( {\begin{array}{*{20}{c}} n\\ {n - k} \end{array}} \right)\)

View Dynamic Solution & Explanation ▼

Correct Solution: Option B

Step-by-step Solution:

The number of possible pairs of subsets - 3n