Question

suppose 9 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) 40,320 b) 362,880 c) 9 d) 5,040 e) 81 f) none of the above.

Answer 1

The number of ways in which they can line up to wait for the next available teller is 362880.

What is termed as the permutation?

• We occasionally want to understand how many different ways we can order a set of items.
• A permutation is the number of different ways this may be done.

We want to know how many different ways there are to line up 9 people.

1. We can choose one of the nine people in line to take the first spot.
2. There are just eight people left to select from once we've decided who will fill this position.
3. This means that only eight people can fill this same second position in this line.
4. Now that the first two spots are filled, there are just seven people left to fill the third, and this line of thought can continue until the last spot is filled.

= 9×8×7×6×5×4×3×2×1

= 362880

Thus, the number of ways in which they can line up to wait for the next available teller is 362880.

To know more about the permutation, here

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