Question

Determine whether the scenario below involves permutations or combinations.?

A relay team of 4 swimmers is to be formed from a swim team with 20 members. How many different relay teams are possible?

Answer 1

The question is asking how many combinations are possible if you're to pick 4 swimmers out of 20 swimmers not considering the order. You use combination for this.

Answer 2

yes so is it:

Answer 3

so isn't that the same as:
20! / 4! (20-4) ! ??

Answer 4

Right you are!

Answer 5

Simplify to get \[\frac{ 20*19*18*17 }{ 4*3*2*1 }=4845\]

Answer 6

thts what I got too :)

Answer 7

There are 4845 combinations to pick 4 swimmers out of 20 swimmers.

Answer 8

thank u so much. :)

Answer 9

Welcome :)