In: Math

# If a doughnut shop offers seven different varieties of doughnut, how many different dozens of doughnuts...

If a doughnut shop offers seven different varieties of doughnut, how many different dozens of doughnuts can one order? Explain your answer.

## Solutions

##### Expert Solution

Out of a dozen of doughnut :-

The first doughnut can be from any of the 7 different varieties of doughnut.

The second doughnut can be from any of the 7 different varieties of doughnut.

The third doughnut can be from any of the 7 different varieties of doughnut.

The fourth doughnut can be from any of the 7 different varieties of doughnut.

The fifth doughnut can be from any of the 7 different varieties of doughnut.

The sixth doughnut can be from any of the 7 different varieties of doughnut.

The seventh doughnut can be from any of the 7 different varieties of doughnut.

The eighth doughnut can be from any of the 7 different varieties of doughnut.

The ninth doughnut can be from any of the 7 different varieties of doughnut.

The tenth doughnut can be from any of the 7 different varieties of doughnut.

The eleventh doughnut can be from any of the 7 different varieties of doughnut.

The twelfth doughnut can be from any of the 7 different varieties of doughnut.

Thus, number of different dozens of doughnuts that one can order

= 777777777777 = 712 = 13841287201

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