How many different subsets of the set {10, 14, 17, 24} are there that contain an odd number of elements?
(A) 3
(B) 6
(C) 8
(D) 10
(E) 12
OA: C
What's wrong with options B and D?
Hi ardz24,
Let's take a look at your question.
We are asked to find the number of subsets of the set {10, 14, 17, 24} that contain an odd number of elements.
The subsets that have odd number of elements have either 1 or 3 elements.
Let's find those subsets.
Subsets with one element = {10}, {14}, {17}, {24}
Subsets with 3 elements = {10, 14, 17}, {10, 14, 24}, (10, 17, 24}, {14, 17, 24}
So there are 8 subsets that have odd number of elements.
Therefore, Option
C is correct.
Hope this helps.
I am available if you'd like any follow up.
