Question

I need to make a table to show the possible combination .

Answer 1

We can start by listing all the items where she can make a decision about:

- Color of the bike: 2 options (Red or Pink)

- Mirror: 2 options (Yes or No)

- Bell: 2 options (Yes or No)

- Streamers: 2 options (Yes or No)

We can calculate the number of combinations by multiplying each number of options:

`C=2\cdot2\cdot2\cdot2=2^4=16`

We have 16 possible combinations.

You can think of this as: if you can pick 2 colors with or without mirror, you have 2*2=4 combinations (red with mirror, red without mirror, pink with mirror and pink without mirror).

If we add the option of the bell, we have the same options (4) but multiplied two times (with bell or without bell). Then, they become 8 options.

If we finally add the streamers option, we get to the 16 combinations.

Then, our table will have 16 rows, and will look like:

Text version:

ColorMirrorBellStreamers

RedYesYesYes

RedYesYesNo

RedYesNoYes

RedYesNoNo

RedNoYesYes

RedNoYesNo

RedNoNoYes

RedNoNoNo

PinkYesYesYes

PinkYesYesNo

PinkYesNoYes

PinkYesNoNo

PinkNoYesYes

PinkNoYesNo

PinkNoNoYes

PinkNoNoNo