Question

You will flip a coin five times. How many ways can you get three heads and two tails?

Jill is trying to solve this probability question. Which row in Pascal's Triangle would tell her the number of outcomes for this event?

A) second row
B) third row
C) fifth row
D) sixth row

Answer 1

10 ways, 6th row

Explanation:

You will flip a coin five times and get three heads and two tails. You can get it in

`C_5^3=(5!)/(3!(5-3)!)=(1\cdot 2\cdot 3\cdot 4\cdot 5)/(1\cdot 2\cdot 3\cdot1\cdot 2)=10`

different ways.

6th row tells her the number of favorable outcomes for this event.