A yogurt shop sells #7# flavors of frozen yogurt and #11# different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?

2 Answers
Jul 29, 2016

#77#

Explanation:

Each of the #7# can have #11# different toppings so let us denote each of the yogurts as #y_i | 1<=y_i<=7# and each of the toppings as #y_j | 1<=t_i<=11#

then we know for the first two yogurts ...
#y_1 rightarrow t_1#
#y_1 rightarrow t_2#
# ...#
#y_1 rightarrow t_11#
Next
#y_2 rightarrow t_1#
#y_2 rightarrow t_2#
# ...#
#y_2 rightarrow t_11#

so each one can be multiplied by the 11 different toppings so we have

#7*11 = 77# possible choices

May 17, 2018

#7xx11=77#

Explanation:

For the first flavour of frozen yogurt, there are #11# possible toppings, so this is already #11# different choices.

The same for the second flavour, there are #11# choices.

The same applies for each of the flavours....

Foe each different flavour there are #11# toppings, so the total number of different choices is:

#7 xx 11 = 77#