Question

In how many ways can 3 singers be selected from 5 who came to an audition?

Answer 1

5 • 4 • 3 = 60

Answer 2

(refresh page if you see question marks)

Answer 3

i dont get how you got the 4 and 3

Answer 4

Okay you have 5 singer yes?

Answer 5

and you have only 3 sets

Answer 6

5 singers, 3 places. 5 options for space#1. 4 left for place #2. and 3 left for place #3

Answer 7

yes thats correct @xapproachesinfinity

Answer 8

cause you can't pick a person twice. make sense?

Answer 9

Yes! like @StudyGurl14 said once the seats are finished
we stop counting because we got what we want

Answer 10

oh okay i got it now thx :)

Answer 11

Its just from 5 singers you are choosing 3 of them, and order does not matter. so we do the operation 5C3

Answer 12

No its permutation!
5P3

Answer 13

see here
http://en.wikipedia.org/wiki/Permutation

Answer 14

No it should combinations, because we dont know which one could sing or not, so order does not matter, we can choose any of the 5 people.

Answer 15

@ganeshie8

Answer 16

that doesn't matter we don't have labels we singer 1 for set one
singer two for seat 2 and singer 3 for 3
we have 2 singer left
that the same as \(\Large \frac{5!}{(5-3)!}\)

Answer 17

i feel it should be a combination because of the keyword "selected"

Answer 18

it could be a permutation also if we are ordering them for singing in the contest

Answer 19

well that's permutation
we select the first singers to arrive and count

Answer 20

the total of counting 5 singers is 5!
then we need to take out 2! from the total since we have only 3 seats

Answer 21

selecting "mary, abby, ashley" should not be different from selecting "abby, mary, ashley" since the question doesn't talk about first,second,third places right ?

Answer 22

if we need to arrange them seats, it becomes a permutation however

Answer 23

but the question as it stands... im inclining more towards comb

Answer 24

eh i agree with the example you give
for this question i believe it's permutation lol

Answer 25

eh okay i changed my mind! after more thinking comb is what fits this

Answer 26

:) i still feel uneasy though because of the work "audition"
audition usually refers to ranking.. thats the reason permutation comes to mind first, but again the question doesn't talk about prizes... so...

Answer 27

hehe! you made feel unsure as well