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5 singers are to be given performance in a concert. How many ways can they be arranged in a order
- a)60
- b)24
- c)48
- d)120
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
5 singers are to be given performance in a concert. How many ways can ...
5P5 ⇒ 5!/(5-5)!
= 5!/0!
= 5!/1 ⇒ 5!
= 120 ways
= 5!/0!
= 5!/1 ⇒ 5!
= 120 ways
Most Upvoted Answer
5 singers are to be given performance in a concert. How many ways can ...
Take 5 singers and 5 spaces:- space 1, space 2, space 3, space 4, space 5. In space 1, you have to choose one of the 5 singers(5 choices) and there will be 4 singers left. In space 2, you have to choose one of the remaining 4 singers(4 choices) and there will be 3 singers left. In space 3, you have to choose one of the remaining 3 singers(3 choices) and there will be 2 singers left. In space 4, you have to choose one of the remaining 2 singers(2 choices) and there will be 1 singer left. In space 5, you have no choice because only one singer is left(1 choice). Therefore, number of ways to arrange 5 singers are:- 5 × 4 × 3 × 2 × 1 = 120.
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Community Answer
5 singers are to be given performance in a concert. How many ways can ...
5P5 ⇒ 5!/(5-5)!
= 5!/0!
= 5!/1 ⇒ 5!
= 120 ways
= 5!/0!
= 5!/1 ⇒ 5!
= 120 ways
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5 singers are to be given performance in a concert. How many ways can they be arranged in a ordera)60b)24c)48d)120Correct answer is option 'D'. Can you explain this answer?
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