Question

A shop owner has an unlimited supply of 8 different types of flowers. If a customer asks for a five flower arrangement such that the arrangement should start and end with the same type of flower, then in how many ways the arrangement can be made by the shop owner?

Answer 1

Answer:

The number of ways are $8^4= 4096$

Step-by-step explanation:

Consider the provided information.

We have 8 different type of flowers.

A customer asks for a five flower arrangement such that the arrangement should start and end with the same type of flower,

We have 8 choices for first, second, third and fourth flower.

The last flower must be the same as first flower, so for last flower we have only 1 choice.

This can be written as: 8×8×8×8×1

$8\times 8\times 8\times 8\times 1 =8^4= 4096$

Hence, the number of ways are $8^4= 4096$