Final answer:
The number of subsets for set N = {10, 41, 64, 16, 36}, which has 5 elements, is 32. This is calculated using the formula 2 to the power of n, where n is the number of elements in the set.
Step-by-step explanation:
The question concerns the number of subsets that can be created from the set N = {10, 41, 64, 16, 36}. To find the number of subsets for a set with n elements, the formula is 2n, since each element has two possibilities: either it is in a subset, or it is not. In this case, the set contains 5 elements.
Therefore, the calculation will be 25 = 32. This means there are 32 different subsets possible for the set N, including the empty set and the set itself.
Subsets
of a set,
number of subsets
, and
power set
are important aspects related to this question.