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2 years ago

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

Mathematics

1 answer:

ss7ja [257]2 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>Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats. </h3>

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<h3>How to determine the equivalent expression?</h3>

The expression is given as:

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$\frac{14x^4y^6}{7x^8y^2} = \frac{2x^4y^6}{x^8y^2}$

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