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A teacher has 5 seniors and 8 juniors in his class. He wants to appoint 3 seniors and 5 juniors to represent the school at a conference. What is the number of different groups of students the principal could choose?



Answer :

To find the number of different groups of students the principal could choose, we can use multiplication.

First, we need to determine the number of ways we can choose 3 seniors from a group of 5. This can be calculated as 5 choose 3, which is denoted as "5C3".

Similarly, we also need to find the number of ways we can choose 5 juniors from a group of 8, denoted as "8C5".

The number of different groups of students the principal could choose is the product of these two calculations, which is (5C3) * (8C5).

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