Question

A club has 14 members. It has to send a delegation of 5 members to represent them at a particular event. Find the number of possible combinations for delegations.

Answer 1

2,002 combinations

Explanation:

[] This may be a little bit confusing, but after you read the whole thing hopefully it'll clear up and make sense!

-> First, you will take the total number (14) and the number of members going (5)

[] Then you are going to write a fraction using these two numbers of 14 and 5. The main one we are looking at is 5.

-> You will put consecutive numbers over 5 in the numerator and multiply them together, then put consecutive numbers 5 and under in the denominator and also multiply them together.

-> The numerator starts with our total club members (14) and the denominator starts with the number of members being sent (5)

[] That may be confusing, so here is an example using your problem:

`(14 x 13 x 12 x 11 x 10 )/(5 x 4 x 3 x 2 x 1)=(240,240)/(120) =2,002`

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather