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Suppose 11 people arrive at a bank at the same time. In how many ways can they line up to wait for the next available teller?

a) 3,628,800

b) 362,880

c) 39,916,800

d) 121

e) 11

Respuesta :

jtulayan
The answer would be C) because there are 11 possibilities of who can line up first, and after the first person, 10 possibilities, then 9, and so on. So you would need to multiply 11x10x9x8x...x1.

The number of ways that 11 people that arrive at a bank at the same time can line up is 39,916,800 ways.

This question is a question relating to combinations and permutation. This is a way to represent the group of objects that are given. The order on which they can be represented is regarded as combination.

In this case, since 11 people arrive at a bank at the same time, the number of ways that they can line up to wait for the next available teller will be:

= 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 39,916,800

Therefore, there are 39,916,800 ways that they can line up.

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