Question

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

Answer 1

$\left( 1 \right)$ Here yogurt shops sell $7$ flavours of frozen yogurt and $11$ different toppings.
$\left( 2 \right)$ For finding the number of choices possible for a single saving for frozen yogurt with one topping, we have to multiplied the $7$ flavours with the $11$ different toppings.

Complete step-by-step solution:
As per data given in the question,
As we have to determine the total numbers of ways through which 7 flavour of yogurt and 11 of toppings can be distributed
As, here,
For the first flavour of frozen yogurt there are $11$ possible toppings.
So, this is already $11$ different choices.
Similarly,
The same for the second flavours, there are $11$ choices.
Here, the same things apply for each of the flavors.
Now, for each different flavours these are $11$ toppings.
So, the total number of different choices are $=7\times 11=77$

Hence, After considering all the given conditions we have got the $77$ possible choice for a single serving of frozen yogurt with one topping.

Note: $\left( 1 \right)$ If you want to know that whether you answer is correct or not so just add the values which you have got after substituting the values of variables.
$\left( 2 \right)$ These are many other similar topics which are very important topics such as Organising and summarizing data. Producing data, probability, statistical distribution, Random variable, etc.
We can also solve the given problems in other way that is
Each of $7$ can have $11$ different toppings. So, let us denote each of the yogurt as.
So, each one can be multiplied by $11$ different toppings so we have,
$7\times 11=77$
$\therefore$These are $77$ possible choices.