Answer:
Step-by-step explanation:
In this scenario, there is no particular order of selection. There is no specification that a player must be a junior or a senior. We just want to select 3 players from 14 players. This means that combination would be applied.
This is a combination because the order in which the players are selected is not important.
The formula for selecting r items from n items by method of combination is expressed as
nCr = n!/[r!(n - r)!]
From the information given,
n = 14
r = 3
Thus,
Number of ways = 14C3 = 14!/(3!(14 - 3)!] = 14!/(3!11!)
Number of ways = 364
There are 364 groups of three players possible for coach Bennet to select from