#1 The letters A, B, G, M, E, and P are randomly scrambled. What is the probability the word GAME appears in the arrangement? For example BGAMEPB would be one of the possibilities.

#2 A Committee of 5 is to be chosen from 8 men and 10 women. Find the following probabilities:

a) Exactly 2 men are on the committee

b)Sonya is on the Committee.

c) Brad or Jill (or both) is on the committee

d) At least one woman is on the committee.

#3 6 one's, 4 two's, 3 three's, and 1 four are placed in a bag and two are drawn at random without replacement and the order drawn will represent a two digit number. (ie. If a two is drawn and then a three, the number is 23). What is the probability of drawing a number less than 23?