Solve the problem.
-If subsets are formed using only digits from the set {1, 2, 3, 4}, how many subsets can be formed with at least two digits?
A)11 subsets
B)6 subsets
C)16 subsets
D)5 subsets

Question

Quizplus · Accepted Answer

The total number of subsets that can be formed from a set with n elements is 2^n. For the set {1, 2, 3, 4}, which has 4 elements, the total number of subsets is 2^4 = 16. This includes the empty set and all subsets of varying sizes. To find the number of subsets with at least two digits, we subtract the number of subsets with fewer than two digits (the empty set and the four single-element subsets) from the total. So, 16 (total subsets) - 1 (empty set) - 4 (single-digit subsets) = 11 subsets with at least two digits.

Solve the Problem. -If Subsets Are Formed Using Only Digits from the Set