Question

9) In swimming, the 200 medley relay is as follows: a relay team consists of 4 members, each swimming 50 meters; the first swimmer does the back stroke; the second swimmer does the breast stroke, the third swimmer does the butterfly, and the fourth swimmer does freestyle. If a swim team has 17 members, how many ways can the coach create a 200 medley relay team? and and

Answer 1

(11) From 17 members, we can select the swimmer who does the back stroke in 17 ways, then from remaining 16 members, we can select the '16 swimmer who does the breast stroke in 16 ways, then from remaining 15 members, we can select the swimmer who does the butterfly 15 in 15 ways, lastly remaining 14 members, we can select the swimmer () who does the freestyle in 14 ways. Hence total no. of ways that the coach can create a 200 medley relay team 17 * 16 * 15 * 14 57120. (11)