Question

Nadia has 4 different types of fruits in her fridge. She wants to choose one or two types of fruit to make juice. How many different juices can she make?

answer should be 6 but how

Answer 1

Nadia can make 10 different juices.

To choose one type of fruit, she has 4 options.

To choose two types of fruit, she needs to use a combination of 2 fruits from 4, which can be calculated using the formula:

n! / (k! * (n - k)!)

where n is the total number of items, k is the number of items to choose, and ! is the factorial function.

So, Nadia can make 6 different juices with two types of fruit:

- Apple and Banana

- Apple and Orange

- Apple and Pear

- Banana and Orange

- Banana and Pear

- Orange and Pear

Therefore, the total number of different juices that Nadia can make is 4 + 6 = 10.