We first must calculate how many ways 2 oblects can be chosen from 5.
combinations = 5! / 2! * (5-2)!
combinations = 5*4 / 2
combinations = 10
There are 10 ways to choose the 2 buttons and 5 ways to choose the final butto so there are 10 * 5 = 50 different ways.
Source
1728.com/combinat.htm
First, note that
Then

Consider all options:
A.

By the definition,

Now

Option A is true.
B.

By the definition,

Then

Option B is false.
3.

By the definition,

Now

Option C is false.
D.

By the definition,

As you can see
and option D is not true.
E.

By the definition,

Then

This option is false.
Answer:
11.25
Step-by-step explanation:
sketch a triangle and fill in the sides,add the sides and equate to 180, collect the like terms to get the value of x=11.25
Answer:
220 N * m or 220 J
Step-by-step explanation:
We have that the work formula would be the applied force multiplied by the distance traveled, that is:
W = F * d
In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:
W = 200 * 1.1
W = 220 N * m = 220 J
Therefore the work carried out by Clarissa and her mom is 200 joules.