The PTA of a certain school has 150 members. The PTA wishes to form a number of comittees on which exactly 10 people will serve. If no one may serve on more than two committees, What is the maximum number of committees that may be formed?

Question

anonymous · Answer

when they pick the first person, there will be 150 people to choose from.
when they pick the second, there will be 149.
then 148.
then 147. and so on.
you multiply those numbers, so the answer would be:
150*149*148*147*146*145*144*143*142*141

anonymous · Answer

a formula would be 150P10, where nPr is:
$$nPr = \frac{n!}{(n-r)!}$$
this will give you the same answer as above.

anonymous · Answer

are you sure?

anonymous · Answer

i'd a said 30

anonymous · Answer

i forgot to divide by 10! >.< to count for different orderings >.<

anonymous · Answer

it doesn't ask "how many different committees can be formed?"

anonymous · Answer

it says "how many committees can be formed"

anonymous · Answer

oh oh oh. i see what you are saying.

anonymous · Answer

disregard what i posted, i read what i want to read apparently lolol >><

anonymous · Answer

so i may be mistaken but all i think think this is asking is how many committees can be made of no one can serve on more than two.  something like pigeon hole