in a flower shop where they sell roses, carnations, tulips, and daffodils. How many different bouquets...

in a flower shop where they sell roses, carnations, tulips, and daffodils. How many different bouquets of 6 flowers can she make?

Expert Solution

In a flower shop, they sell roses, carnations, tulips, and daffodils.

So, there are 4 different types of flowers.

We have to find, how many different bouquets of 6 flowers can be made.

Now, the first flower of the bouquet can be any one of rose, carnation, tulip, or daffodil. so, the first flower can have 4 options.

For any one of these choices, the second flower also has 4 options.

Similarly, the third, fourth, fifth and sixth flowers, can also be chosen in 4 ways, each.

So, by multiplication rule of combination,

The bouquet can be made in

So, the answer is the bouquet of 6 flowers can be made in 4096 number of ways.

orchestra answered 2 years ago

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