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9966 [12]
3 years ago
11

How many ways can 5 friends sit together at the movies in 5 seats?

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

\implies ^n P_r = \dfrac{n! }{(n-r)!}

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

<h3><u>Hence </u><u>there</u><u> </u><u>are</u><u> </u><u>1</u><u>2</u><u>0</u><u> </u><u>ways</u><u> </u><u>by</u><u> </u><u>which </u><u> 5 friends sit together at the movies in 5 seats</u><u>. </u></h3>
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we know that

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