A bag contains 7 apples and 5 oranges. If you select 7 pieces of fruit without looking, how many ways can you get 7 apples?

Question

asked May 11, 2020 100k views

2 Answers

Kiatng · Answer 1 · 2020-05-17T01:00:00+0000

Answer: 1

Explanation:

Given : A bag contains 7 apples and 5 oranges.

Then , the total number of pieces of fruits =
7+5=12

We know that the number of n things taken x at a time is given by:-

^nC_x=(n!)/(x!(n-x)!)

Then, the number of ways you can get 7 apples:-

$^(7)C_7*^5C_0=(7!)/(7!(7-7)!)*(5!)/(0!(5-0)!)\\\\=1*1=1$

Hence, the number of ways you can get 7 apples =1