Question

Red Riding Hood is making a food basket out of 8 different fruits and 9 different vegetables. If there is only room for 6 items, how many ways could there be an equal number of fruits & veggies? (You can show your process if you like; half mark possible. Avoid spaces.)

Answer 1

169,344

Explanation:

Data provided in the question

Different fruits = 8

Different vegetables = 9

There is only room for 6 items

Based on the above information, the number of ways for an equal number of fruits & veggies is

For the number of combinations of fruit is

`= 8*7*6`

For the number of combinations of vegetables is

`= 9*8*7`

So, the total combinations are

`= 9*8*8*7*7*6`

= 169,344