Question

An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul.
In how many ways can the awards be presented so that Maria and Olivia will be next to each other?

Answer 1

@TheSmartOne

Answer 2

@mathmale

Answer 3

YES PLEASE HELP!

Answer 4

need more info to solve the problem

Answer 5

how many people are there in total?

Answer 6

An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul.

Answer 7

1440.

Answer 8

well, let's start by figuring out the possible arrangements for Maria and Olivia

M O _ _ _ _ _
_ M O _ _ _ _
_ _ M O _ _ _
_ _ _ M O _ _
_ _ _ _ M O _
_ _ _ _ _ M O

I listed out 6 possibilities here, but we can also reverse the M and the O so that doubles our options, giving us 12 (we're not done yet though)

Answer 9

the next step is to consider how the other five people will be arranged in the 5 empty seats

there are 5! ways to arrange the other people, and 5! = 120

now we just multiply 12*(120) to get 1440

Answer 10

any questions?

Answer 11

HOW DID YOU GET THE 120? @Vocaloid

Answer 12

please read everything I wrote carefully.

Answer 13

do you know what 5! means?

Answer 14

NO

Answer 15

@Vocaloid

Answer 16

5! means 5*4*3*2*1