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A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper. How many different ways could the list be writ
Question
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper. How many different ways could the list be written?
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Mathematics
4 years
2021-09-02T00:17:16+00:00
2021-09-02T00:17:16+00:00 1 Answers
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Answers ( )
Answer:
Total number of orders = 77,520
Step-by-step explanation:
Given:
Number of students on team = 20
Number of students on the starting line =9
Find:
Total number of orders
Computation:
Total number of orders = 20! / [20 – 7]!(7!)
Total number of orders = 20! / [13]!(7!)
Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]
Total number of orders = 77,520