Question

there are eight contestants in the art contest. How many different ways can first, second, and third place be awarded?

Answer 1

@jim_thompson5910

Answer 2

@Compassionate @MikeyMaximum @nincompoop

Answer 3

we have 8 people to pick from for slot 1

how many people do we have to pick from for slot 2?

Answer 4

i dont know :/

Answer 5

After choosing 1 people frm 8, u hv 7 people to choose for slot 2

Answer 6

well if one person gets first place, then we have 8-1 = 7 people left, no?

Answer 7

oh Oops, Yes

Answer 8

and slot 3?

Answer 9

6

Answer 10

So...

Answer 11

@jim_thompson5910

Answer 12

multiply out those values: 8*7*6 = ??

Answer 13

the result is the number of ways to pick 3 people from a pool of 8 (order matters)

Answer 14

336

Answer 15

yes

Answer 16

Ok Thx!

Answer 17

that's the same as the permutation 8 P 3

Answer 18

Why we multiply 8*7*6? Why we dont simply add those 8+7+6?

Answer 19

@AwesomeSays3

Answer 20

:/ i dont know ask @jim_thompson5910

Answer 21

I know the answer

Answer 22

what?

Answer 23

I need some time to clear it

Answer 24

Ok

Answer 25

Just numbering people 1,2,3,4,5,6,7,8

Answer 26

If 1 stood first, second can b 2 or 3 or 4 or 5 or 6 or 7 or 8

Answer 27

So the r 7 ways to choose second if 1 is first. Right?

Answer 28

And if u choose people number 2 for first slot, u will get another 7 ways to choose for slot 2

Answer 29

And if u choose people number 3 for slot 1 , then u will b able to fill up the second slot by another 7 ways

Answer 30

Nd so on

Answer 31

So u will b able to fill up first nd second slot by total number of ways=8*7
Right?

Answer 32

I think u r not following me!

Answer 33

U missed something!!

Answer 34

No sorry. I don't know what you're asking exactly

Answer 35

I think asker did not understand why u multiply 8*7*6