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How many ways can 3 songs be chosen from 12 to create a 3 song ordered play list?​

1 Answer

3 votes

Answer:

1320

Explanation:

Total number of songs = 12

Number of songs required to arrange in a play list = 3

It means we have to arrange 3 songs from 12 in the play lines. So, required number of ways is


Ways=^(12)P_(3)


Ways=(12!)/((12-3)!)
[\because ^nP_r=(n!)/((n-r)!)]


Ways=(12* 11* 10* 9!)/(9!)


Ways=1320

Therefore, the required number of ways is 1320.

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