A student organization is tasked with forming a two-member outreach team and a four-member event committee from its members. There are exactly 15 ways to choose a two-member team for the outreach team. Members can participate in both teams. How many distinct ways can a four-member event committee be formed?

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Given: nC2 = 15, which implies n = 6. We need to calculate 6C4, which equals 15.

Comments

ClairinApr 24, 2025

thanks for posting

AshleyApr 16, 2025

thanks!

What this question tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.