A team of 9 people is to be chosen from a group of 15 people. The group includes a family of 4 people who must not be separated. Find the number of teams that can be chosen.

Explanation

Since the family of 4 people must not be separated, we can consider them as a single unit. So, we need to choose 5 people from the remaining 11 people (15 - 4 = 11). The number of ways to choose 5 people from 11 people is 11C5 = 462.

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