In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 5 at a time?
In how many ways can the letters in the word BUTTERFLY be arranged if the letters are taken 5 at a time

Question

In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 5 at a time?
In how many ways can the letters in the word BUTTERFLY be arranged if the letters are taken 5 at a time

curry · Answer

for the first one i got 7P2
and for the second one i got (9*8*7*6*5*4*3)/3!

curry · Answer

is that right

mertsj · Answer

I think the first one would be 7x6x5x4x3

curry · Answer

ye that is wht 7p2 means

mertsj · Answer

You have 7 letters and you are choosing 5 of them.

mertsj · Answer

Why wouldn't it be 7p5?

curry · Answer

ooh wait ye  i meant to write 7!/2!

mertsj · Answer

Yes.  That would be correct.

curry · Answer

sorry

curry · Answer

what about the 2nd one is that right

mertsj · Answer

Well, there is a little problem because of the two T's.  They are indistinguishable so maybe we should start with 8 x 7 ...

curry · Answer

well here wass my work (9!/2!)/(9-5)!

curry · Answer

the divide by 2! shoiuld account for the 2 ts

mertsj · Answer

Well but you are only choosing 5 letters so what is only 1 T is chosen?

mertsj · Answer

I would agree if you were arranging all 9 letters.

curry · Answer

wait i dont understand wat u mean what do u think it is and y

curry · Answer

i need help on number 2