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JAMB Mathematics 2015 Paper

Question : 50

Total: 61

Given that Z = {1,2,4,5} what is the power of set Z?

Solution:

Concept:

The power of a set is the number of subsets it has, which is given by

2^n

where

n

is the number of elements in the set.

Explanation:

Set

Z = \{1,2,4,5\}

has

4

distinct elements.

So,

n = 4

The number of subsets is

2^n = 2^4

Calculate

2^4 = 2 \times 2 \times 2 \times 2 = 16

Thus, the power of set

Z

16

Answer:

The correct answer is

16

(Option A).

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