In how many different ways can a coach select a team of 3 players out
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18 Jan 2024, 03:52
Since a team should consist of John, we only have to find out the ways in which we can select the remaining players out of 9, since John, who is one among the 10 is already selected.
And since the order does not matter, it is
2C9=9!2!(9−2)!=9×8×7!2!×7!=9×82=36
There are 36 ways of selecting a team of 3 players out of 10 players so that John, who is one among the 10 players, is selected in the team.