Question

Find the number of subsets when a die is rolled.A.48B.36C.216D.64

Answer 1

D. 64

Explanation:

When a die is rolled, the result will be 1 or 2 or 3 or 4 or 5 or 6. Therefore, if any set is formed with these result numbers, the set thus generated will be {1, 2, 3, 4, 5, 6}. This means that this set contains 6 elements.

The number of subsets is given as follows:

`\begin{gathered} s=2^n^{} \\ \text{ in this case n = 6, therefore:} \\ s=2^6=2\cdot2\cdot2\cdot2\cdot2\cdot2=64 \end{gathered}`

Therefore, the number of subsets is equal to 64