If P, Q, R, S are four individuals, how many teams of size exceeding one can be formed, with Q as a member?

A. 5
B. 6
C...

Question

If P, Q, R, S are four individuals, how many teams of size exceeding one can be formed, with Q as a member?

A. 5
B. 6
C. 7
D. 8

Accepted Answer

7 teams can be formed with Q as a member and size exceeding 1. Answer: C. We have 4 people: P, Q, R, S. We must form teams that include Q and have at least 2 members. We can choose any non-empty subset of the remaining 3 people (P, R, S) to join Q, as long as at least one other person is chosen. The number of non-empty subsets of {P, R, S} is 2^3 - 1 = 7.

If P, Q, R, S are four individuals, how many teams of size exceeding one can be formed, with Q as a member? A. 5 B. 6 C. 7 D. 8