This is so easy!

Number Theory Level 1

A vending machine has 5 different fruit juices, 2 different cans of soda. How many combinations are there if you can choose 1 fruit juice and 1 soda at a time?


The answer is 10.

Rose Huang by Rose Huang , 19, China

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Sravanth C.
Feb 13, 2015

Here is how you do it... (as the numbers are small you can count it)

The first can will have five combinations (by counting).

The second can, similarly, will have five more combinations (by counting).

Hence there are ten combinations............

It could have been better if you could have added that each can and each fruit juice had separate combinations.

7 Helpful 0 Interesting 0 Brilliant 0 Confused

One soda can can be chosen with 5 different Juices

so there are 5 combinations now ( 1 soda can x 5 different juices )

And the other soda can also be chosen with 5 different soda cans

so another 5 combinations are formed (1 another soda can x 5 different juices)

so taking the total of two soda cans there are 10 combinations

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...