In how many ways can 5 girls be seated in a row of 5 seats?

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In how many ways can 5 girls be seated in a row of 5 seats?

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Answer 1 · 2017-07-26T01:36:09

See a solution process below:

Explanation:

There can $5$ $5$ girls selected for the first seat.

Then, there are $4$ $4$ girls to select from for the second seat.

Then, there are $3$ $3$ girls to select from for the third seat.

Then, there are just $2$ $2$ girls to select from for the fourth seat.

Then, there is just $1$ $1$ girl for the fifth and final seat.

Therefore they number of ways to seat 5 girls in 5 seats is:

$5 \times 4 \times 3 \times 2 \times 1 \Rightarrow 20 \times 6 \times 1 \Rightarrow 120 \times 1 \Rightarrow 120$ $color(red)(5 )xx color(red)(4) xx color(blue)(3) xx color(blue)(2) xx 1 => color(red)(20) xx color(blue)(6) xx 1 => 120 xx 1 => 120$

So there are $120$ $color(red)(120)$ different ways to seat 5 girls in 5 chairs.

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In how many ways can 5 girls be seated in a row of 5 seats?

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