There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possible committees could be formed that include Mark?

120 ways

Step-by-step explanation:

We have the total number of people in this baking club = 10, Mike inclusive.

We are asked to find how to form an executive committee of 3 from these 10 people

We solve this using combination method

10C3

= 120 possible committees

So out of these 10 people we can select a committee of 3 persons in 120 ways.

Thank you.

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

ok then what happened.