Question

A store sells notebooks with each of the combinations of color, binding, and dividers shown in the table.

Which statements are true about the variety of notebooks that the store sells? Check all that apply.

-There is a greater number of combinations with pocketed dividers than with no pockets.

-There are more than 18 different combinations of features for sale.

- The number of combinations of red notebooks is the same as the number of combinations that are yellow.

- The number of combinations of black notebooks is the same as the number of combinations that have dividers with no
pockets.

-Adding one more color option would increase the number of different combinations by 4.

Answer 1

Answer:

These are the true statements:

1) There are more than 18 different combinations of features for sale.

2)The number of combinations of red notebooks is the same as the number      of combinations that are yellow.

3)Adding one more color option would increase the number of different combinations by 4.

Step-by-step explanation:

Here, we need combination of three different things color, binding and divider.

Firstly, from color we have 5 options, so there are 5 different ways of choosing color.

Next, 2 options for binding, so 2 ways to choose the binding.

Thirdly, 2 more ways to choose divider.

So, total number of ways = 5×2×2 = 20 ways.

This is because when we fix one of the things, say color to be red, then there are 2 ways for binding and 2 ways for divider. so, we get a total of 4 different combinations.

Now, as we are having 5 different colors, total ways = 5×4 = 20.

Here, it is obvious that combinations of notebooks of any color are same(4 red, 4 blue, 4 green, 4 yellow, 4 black)

Suppose, we have one more color option then total ways = 6 ×4 =24 ways.

⇒Adding one more color option would increase the number of different combinations by 4.

Answer 2

Answer:

B,C,E

Step-by-step explanation:

I got it right on the test

hope this helps