Question

A science team has 6 students, 4 girls and 2 boys. In how many ways can the science team choose a team captain and team representative?

Answer 1

We have a team of 6 students (4 girls and 2 boys).

We have to find in how many ways can they choose a team captain and team represnentative.

If we start selecting the captain, we have 6 options to choose from.

Then, if we select the representative after selecting the captain, we are left with 5 options, represented by the number of students that are not the captain.

Then, we can calculate the possible ways as:

`n=6\cdot5=30`

Answer: there are 30 ways to choose a team captain and team representative.