Question

How many different ways can 7 people sit in seats labeled A – G? *

1 point
7 ways
5040 ways
14 ways
720 ways

Answer 1

The seats are arranged in 5040 ways, if 7 people sit in seats labeled A, B, C, D, E, F, G.

Explanation:

The given is,

7 people sit in seats labeled A, B, C, D, E, F, G.

Step: 1

No.of people = 7

No. of seats labeled = 7

Formula to calculate the number of ways to arrange,

`P_(n) = n!`...................................(1)

Where, n - Positive integer

Step: 2

From given, n = 7

Equation (1) becomes,

`P_(7) = 7!`

= 7 × 6 × 5 × 4 × 3 × 2 × 1

= 5040

= 5040 ways

Result:

The seats are arranged in 5040 ways, if 7 people sit in seats labeled A, B, C, D, E, F, G.