Solve the problem.
-If a given set has eight elements, how many of its subsets have at most three elements?
A)93 subsets
B)92 subsets
C)56 subsets
D)163 subsets

Question

Quizplus · Accepted Answer

The number of subsets with at most three elements includes the subsets with zero, one, two, or three elements. For a set with eight elements, the number of subsets of each size is calculated using combinations (nCr = n! / [r!(n-r)!], where n is the total number of elements and r is the number of elements in the subset). Thus, the calculation is as follows: 8C0 + 8C1 + 8C2 + 8C3 = 1 + 8 + 28 + 56 = 93.

Solve the Problem. -If a Given Set Has Eight Elements, How Many of How