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