I need just a little help answering some math questions. Maybe someone could help?
1.) What is the probability of drawing EXACTLY 2 red cards in a hand of 3 cards frawn from a deck of 52 cards?
2.) State the coefficient of the term containing X^-11 in the expansion of (4X^2+X^-3)^7?
3.) A coin is tossed 20 times in a row. The probability of exactly r heads occurring is given by the term containing p^r in the binomial expansion of (p+q)^20, where p=q=0.5. Calculate the probability that exactly 9 heads will be tossed.
4.) A bag contains 12 blocks, 5 of which are red, 4 are blue, and the rest are green. If 7 blocks are selected randomly, determine the number of ways that AT LEAST 2 blocks of each color are included.
5.) A group of vehicles consists of 7 [COLOR=green! important]cars and 6 trucks. Five are chosen randonly to be in the show room at a car [COLOR=green! important]dealership[/COLOR]. Determine the probability that AT LEAST one of each vehicle is chosen.
6.) The mathematics department has five committees. Each of these committees meets once a month. Membership on these committees is as follows.
Committee A: Shawn, Larry, Elliott
Committee B: Elliott, Warner, Henry, Kelly
Committee C: Warner, Larry
Committee D: Andrew, Larry, Shawn
Committee E: Benny, Candy, Kelly, Shawn
What is the minimum number of time slots needed to schedule the committee meetings with no conflicts?
So I these are just the questions I need answered. Hope someone can help. I think I got number 1 and number 5 but I just want to make sure. Thanks.[/COLOR]