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6 votes
Which two terms represent the number of groups of three players that are all juniors?

3,003
20
14^C^3
14^C^6
6^C^3
364

Which two terms represent the number of groups of three players that are all juniors-example-1

2 Answers

7 votes

We shall use combination here

  • n=6
  • r=3


\boxed{\sf ^nC_r=(n!)/(r!(n-r)!)}

Now


\\ \rm\Rrightarrow ^6C_3


\\ \rm\Rrightarrow (6!)/(3!(6-3)!)


\\ \rm\Rrightarrow (720)/(3!(6))


\\ \rm\Rrightarrow 20

User Djaszczurowski
by
7.9k points
6 votes

Answer:

  • B) 20, E) 6C3

Explanation:

Combination of 3 juniors out of 6 is:

  • 6C3 = 6!/(6 - 3)!3! = 6*5*4*3!/3!3! = 6*5*4/2*3 = 5*4 = 20

Correct choices are B and E

User Ayobami
by
7.6k points

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