five couples have reserved seats in a row for a concert. in how many different ways can they be seated?

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15-12-2022
Mathematics

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five couples have reserved seats in a row for a concert. in how many different ways can they be seated?

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GopalBarman GopalBarman · Answer 1 · 2022-12-20T11:09:48+01:00

five couples have reserved seats in a row for a concert, 3840 different ways can they be seated. So, using the concept of combination formula we get -

What is combination formula?

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

The formula becomes: [tex]^nC_r[/tex]

Where n = total number of objects in the set.

r = number of choosing objects from the set

Given that,

there are five couples

These couples have reserved seats in a row for a concert.

So, arrangements of 5 couples can be done in 5! × 2⁵= 3840 ways.

To know more about combination formula refer to:

https://brainly.com/question/28065038

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