Question

A basketball team has 12 players and the coach wants to pick which 5 players will start today's game. How many combinations are there for the coach to choose from?
the answer choice:

A. 25
B. 867
C. 792
D. 1,248

Answer 1

@jim_thompson5910 can u help me?

Answer 2

This is just a matter of plugging numbers in. Where are you stuck?

Answer 3

"12 players and the coach wants to pick which 5 players"

Answer 4

what is the formula for this

Answer 5

when he chooses a person, there are a certain number left in the group to choose,
first 25, then 24 after one is chosen, then 23 to choose from.....

Answer 6

sorry there are 12 people to start not 25
for 5 choices then it is..

12*11*10*9*8

Answer 7

You can also use the formula to figure this out, but you do need to know what the variables stand for.

Answer 8

"12 players and the coach wants to pick which 5 players"

From 12 choose 5

You should have the combinations formula.

Answer 9

@DanJS it's combinations not permutation.

Answer 10

12/5

Answer 11

\[nCr=(n!)/((n-r)! * r!)\]

Answer 12

ah right, so there are some teams that are just the same 5 but in a different order

so you have to reduce that number of permutations down by how many ways you can arrange the group of 5,

Answer 13

=(12!)/(12-5)!*5

Answer 14

5 people can be arranged 5*4*3*2*1 ways or 5!

so you take how many permutations of that group can come out of the 12, and divide it by the doubles(5*4*3*2*1)

Answer 15

Yes, that's correct

Answer 16

=475200

Answer 17

Heads up, don't forget the factorial on your 5

Answer 18

the what

Answer 19

\[\frac{ 12*11*10*9*8 }{ 5*4*3*2*1 }\]

Answer 20

exclamation point on the 5. You forgot it, just wanted to make sure you remembered it, just in case

Answer 21

so the answer is c)

Answer 22

right, 792 ways to pick combination of 5 people out of 12 people