Funny Fruits. Part II

Probability Level 3

There are 4 mangoes, 3 apples and 2 oranges in a bag, fruits of the same variety being identical. In how many ways can a selection of fruits can be made if at least one mango is to be selected?

Check out the set : Just a Little Twist to fall in love with Maths and Problem Solving.


The answer is 48.

View wiki
Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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

Vighnesh Raut
Apr 3, 2015

Let us first select one mango so that we have at least one mango. Now, we are left with 3 mangoes, 3 apples, and 2 oranges and number of ways of selecting them is 4x4x3=48 (To know how the selection is made , refer to my solution here ) . Here we don't subtract 1 from the total selections because even if we select none of the fruits, we have one mango which was selected in the beginning .

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Archit Boobna
Apr 4, 2015

Since we have to find the number of ways of selecting Mangoes AND oranges AND apples, we will multiply the number of ways of selecting these fruits.

We get 4.4.3= 48 \boxed { 48 }

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...