Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Let P be the power set of the set {a,b,c,d}, what is n(P)?
Options
A 4
B 8
C 16
Correct Answer
D 32
Correct Answer

Option C is the correct answer.

Detailed Explanation

The power set of a set with n elements has 2^n elements. Here, the set has 4 elements ({a,b,c,d}), so n(P) = 2^4 = 16.

Hint

If a set has n elements, its power set has 2^n elements.

Question Info