contestada

At a game show, there are 7 people (including you and your friend) in the front
row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
How many ways can you and your friend both be chosen?

Respuesta :

There is 2 chances that both you and your friend can be picked.
Short answer-
5 ways.

Explanation-
This is a *little* hard to explain through text but hopefully this should be fine.

So, in the image below we have 7 audience members (orange) including you and your buddy (green).
In the columns I have marked how many times you, your friend and another audience member has been theoretically chosen.

As we can see, both you and your friend have been chosen five times, while everyone else has been chosen once.
These are all the possible combinations.
The answer is 5.
Hope this helps :)