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Sagot :
Answer:
A.) combination
B.) 167,960 ways
C.) 58,344 ways
Step-by-step explanation:
A.)
Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.
B.)
Here, the coach wants to select her 11 from all available 20:
We apply the combination formula :
nCr ; where ; n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167,960
C.)
1 goalie 10 players
1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :
This gives :
3C1 * 17C10
3C1 = 3
17C10 = 19,448
3C1 * 17C10 = 3 * 19448
= 58,344 ways
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