Question

Find the number of posobilities-

For lunch, you have a choice of nachos or a fish sandwitch, green beans or french fries, strawberries or jello, and white or chocolate milk. Assuming you chose one of each, how many lunches are possible?

How many possible passwords made up of 4 letters are possible if no letter can be repeated?

Answer 1

64 Options.

So there is 7 options which is the nachos, fish sandwich, green beans, fries, strawberries, jello, and 2 different milks. First, add all the foods 1 + 1 + 1 + 1 + 1 + 1 + 2 = 8. Next, multiply the 8 by 8 and it will give you 64.

Thats how you get the answer.

Answer 2

Answer: 16 different lunch options

Step-by-step explanation:

Since each time, you have two new options so you have to multiply by 2.

Work backwards.

You have white or chocolate milk. You can have Strawberries or Jello with two different options so in total you have 2 * 2 = 4 different lunches. Then You have green beans or french fries each with 4 different options so 2 * (2*2) = 8 different lunches now. Then you nachos or a fish sandwich each with 8 different options so 2 * (2 * (2*2)) = 16 different lunch options.

In simpler form, you can do, 2 * 2 * 2 * 2 = 16 or
`2^(4)` = 16, for the four different choices you have.