Question

The number of ways six people can be placed in a line for a photo can be determined using the expression 6! What

is the value of 6!?
Two of the six people are given responsibilities during the photo shoot. One person holds a sign and the other
person points to the sign. The expression represents the number of ways the two people can be chosen from
the group of six. In how many ways can this happen?
In the next photo, three of the people are asked to sit in front of the other people. The expression
represents the number of ways the group can be chosen. In how many ways can the group be chosen?

Answer 1

Answer: 720, 30, 20.

Explanation:

For the first problem, 6! meants that we are going to multiply the numbers that go before it, so: 6 • 5 • 4 • 3 • 2 • 1 = 720.

For the second problem, you can enter 6!/(6-2)! Into a calculator, or just work it out. For the numerator, we will do 6 • 5 • 4 • 3 • 2 • 1 = 720, and for the denominator, we will do 6-2 = 4, and then 4 • 3 • 2 • 1 = 24.

This equals 720/24, and then simplify it, which gives you 30.

For the last problem, you can also enter 6!/(6-3)!3! into a calculator, or do the work yourself. Take the numerator 6!, and do it again: 6 • 5 • 4 • 3 • 2 • 1 = 720. Then take the numerator, (6-3)!3!. First you want to do 6-3 since it's in parentheses, which equals 3, and since it has 3!3!, you will do 3•2•1 = 6, and then the next one, 3•2•1 =6. Do 6•6 = 36. So now for the fraction, you will get 720/36. If it's simplified, it will be 20.

I hope I helped you.

Have a nice day! :)

Answer 2

Answer:720, 30, 20

Step-by-step explanation: cs it’s right