Question

A student club has 20 members. How many ways can the club choose a President, Secretary, and Treasurer?

A. 6,840
B. 8,000
C. 2,280

Answer 1

Would you have to make a table? (:

Answer 2

no just mulitply
\[20\times 19\times 18\]

Answer 3

Ahhhh ok :)

Answer 4

P(8, 5) =

A. 40,320
B. 1,680
C. 6,720

so then wouldnt the answer to this one be A?

Answer 5

This is a combination/permutation problem. Since "order" does matter, ie, if Sally, Bob and Mike are the three officers, there can be multiple ways to fill the positions: Sally could be Pres, Bob Sec, and Mike Treas, or Sally could be Sec, Bob Pres, Mike Treas, and so on.

Thus, this is a permutation. If order did not matter, ie, all three held the same title, then it would be a combination.

A permutation can be written as nPr where n=total group, P means permutation, and r=number chosen. Thus, this would be 20P3.

Answer 6

Ohhh >.< so satellite was wrong?

Answer 7

satellite is correct, but I am giving you the long answer. :P

Answer 8

Ahhh yea ok :) So for the second one wouldnt it be A? (:

Answer 9

Permutation is calculated as n!/(n-r)!

For #1, this is 20!/(20-3)! = 20*19*18.

For #2, it is 8!/(8-5)!. This equals 8*7*6*5*4*3*2*1/(3*2*1) which equals 8*7*6*5*4. See why?

So A is not correct...

Answer 10

Do you know what is?

Answer 11

Yes it would be C correct?

Answer 12

Yep :)

Answer 13

Woo!! 100%! :) Thanks r u a teacher? :D

Answer 14

yw. No, not a teacher.

Answer 15

Well you definitely should be one! (: Both of you!

Answer 16

Thanks. ;)

Answer 17

Yea getting ready to take a assessment on my online school so i might be posting a few more questions ^_^

Answer 18

cheater! lol

Answer 19

Haha not cheating if ur old computer hard drive crashed and now u cant access ur notes!! >.< and finals are almost here too! im soooo stressed all my notes. just, gon.

Answer 20

gone*