nightcoresingsforyou
nightcoresingsforyou nightcoresingsforyou
  • 24-07-2020
  • Mathematics
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PLEASE ASAP There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities are there?

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fichoh
fichoh fichoh
  • 28-07-2020

Answer: 380

Step-by-step explanation:

Total number of players = 20

To select a captain and a vice captain :

One captain from a total of 20 players :

20 combination 1 = 20C1 = 20 ways

Total number of players left after selecting a captain = 20 - 1 = 19

Number of players left from which to select a vice captain = 19

Therefore, one vice captain from a group of 19 players :

19 combination 1 = 19C1 = 19 ways

Therefore no of different possible ways to select a captain and a vice captain :

20C1 × 19C1 = 20 × 19 = 380 Ways

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