From a group of 6 juniors and 5 sophomores a committee of 3 juniors and 3 sophomores is to be selected. one junior is to receive a 12 month term on the committee, one junior is to receive a 9 month term, one junior is to receive a 6 month term and all sophomores are to receive 4 moth terms. How many different committees are possible?

The number of different committees that are possible is 200.

Step-by-step explanation:

Combinations is a mathematical procedure to determine the number of ways to select k items from n distinct items.

The group consists of 6 juniors and 5 sophomores.

The committee to be formed must consist of 3 juniors and 3 sophomores.

Compute the number of ways to select 3 juniors from 6 as follows:

Compute the number of ways to select 3 sophomores from 5 as follows:

Compute the total number of different committees possible as follows:

Total number of committees possible = n (3 juniors) × n (3 sophomores)

Thus, the number of different committees that are possible is 200.

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