Question

Given that {b, e, s, t}, how many subsets can you list? A.8B. 16C. 32D. 64

Answer 1

If there are n elements in a set, then there are 2ⁿ subsets.

In this case, there are 4 elements in the given set, then we have:

`\begin{gathered} n=4 \\ \text{ number of subsets of the set = }2^n \\ \text{ number of subsets of the set = }2^4^{} \\ \text{ number of subsets of the set = }2\cdot2\cdot2\cdot2 \\ \text{ number of subsets of the set = }16 \end{gathered}`

Therefore, there are 16 subsets in the given set.