I need help with this ASAP please help

Problem 7

Explanation:

Let's say we only worried about the colors and the sizes. We have 3 colors and 4 sizes, giving 3*4 = 12 different combos. Think of a table that's 3 rows and 4 columns. We'd have 12 inner cells. Each cell represents a different combo.

This idea extends out to not just two factors, but we can have as many as we want. In short, we simply multiply the values given to us: 3*4*5 = 12*5 = 60 different t-shirts. Your math textbook or your teacher may refer to this method as the counting principle, though they may use another term.

Problem 8

Explanation:

We use the same idea as problem 7.

4*7*8 = 28*8 = 224 different coats

As an alternative, you can draw out a tree diagram. However, these types of drawings can get very cluttered.

Problem 9

Explanation:

We'll use the same idea as before.

We have 10 choices for the first slot (0 through 9)

Once the first digit is selected, then we have 10-1 = 9 choices left for slot two

Then slot three has 9-1 = 8 choices, and so on.

We have this countdown: 10, 9, 8, 7

The countdown stops once we filled out the four slots. Multiply these values to get the final 10*9*8*7 = 5040. The multiplication step is where we refer to the ideas mentioned in problems 7 and 8 earlier.

Keep in mind that this allows for 0 to be in the first slot. So a number like "0179" is one possibility here. If 0 is not allowed for the first digit, then you'll compute the answer like so:

9*9*8*7 = 4536

This is because we have 9 choices for the first digit, then 9 for the next, and so on. I would ask your teacher for clarification on this one.

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol