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.)

Question

Answered

Answer :

andromache andromache · Answer 1 · 2020-06-25T22:45:26-04:00

Answer:

169,344

Step-by-step 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

[tex]= 8\times7\times6[/tex]

For the number of combinations of vegetables is

[tex]= 9\times8\times7[/tex]

So, the total combinations are

[tex]= 9\times8\times8\times7\times7\times6[/tex]

= 169,344