How many ways can a basketball team of 3 players be chosen from 8 players?

Contents

How many different ways can a coach choose three players from 8 bench players to replace three of the five starting players of a basketball team?

First notice that 8 choose 5 is the same as 8 choose 3 since choosing five players to be on the court is equivalent to choosing 3 players to sit on the bench. I’m going to work with 8 choose 3 since it is easier. 6 ways.

How many different combinations are possible if 3 players are selected from a team of 9?

In the end, we see that there are 84 ways to pick 3 people from a group of 9 as long as order does not matter. Consider another example.

How many ways can a team of 5 players be chosen from 8 players?

if none of them is selected then there is only one combination of 8–3=5 persons. 2. In all other case we want all three , so assuming them one , we have 5 other persons and we have to select 20 out of them. So such combinations will be 5c2=5*4/(2*1)=10, hence total options are=10+1=11.

How many ways that you can choose 3 desserts from a menu of 10?

Combination: Choosing 3 desserts from a menu of 10. C(10,3) = 120. Permutation: Listing your 3 favorite desserts, in order, from a menu of 10. P(10,3) = 720.

IT IS INTERESTING:  Where does Michael Jordan's son play basketball?

How many ways can the first second and third place be chosen from 10 contestants?

There are 720 different outcomes possible in the race.

How many ways can 5 basketball players?

The number of ways in which 5 basketball players can be selected from 8 basketball players is 8C5=56 8 C 5 = 56 . Using the product rule, the total number of ways in which both these selections can be made is 330∗56=18480 330 ∗ 56 = 18480 .