Sharon's 5-digit ZIP Code contains each of the digits 7, 3,
6, 1, and 2. How many different
possibilities are there for
Sharon's ZIP Code?
24
120
720
3125
А
B
D

B

Step-by-step explanation:

There are 5 spots to fill with the digits 7, 3, 6, 1, and 2 to make a code

Think how many ways you can fill each of the spots.

spot 1: either 7, 3, 6, 1, or 2 so there are 5 ways to fill that first spot

spot 2: is can be filled in 4 ways because is given that each of the digits have to be in the code so if we used one of the numbers for the first spot now we have 4 numbers left to use

spot 3: 3 ways , spot2: 2 ways, and spot1: 1 way

The different possibilities for Sharon's ZIP Code are given by the multiplication of the numbers of ways you can fill each spot in the code 5*4*3*2*1 = 120

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus