detailed solution

Answer the following. 1. A number is drawn at random from the set (1, 2, 3, ..., 40]. Find the probability that the number chosen is a. a multiple of 2 and a multiple of 5. b. a multiple of 2 or a multiple of 5. c. a multiple of 3 but not a multiple of 5. 2. A Math Club with five male senior members and eight female senior members elects three other females and two other males to become members. From the 18 members, two persons are selected. Find the probability that: a. both members are female. b. one member is male and the other is female.11. A box of Mrs. Donuts contains 8 honey dipped, 6 bavarians, and 7 chocolate filled donuts. How many ways can 5 donuts be selected to meet each condition? a. all bavarian b. all chocolate filled c. all honey dipped Donuts d. 2 bavarian, 2 honey dipped, I chocolate filled 12. At a party, each guest shook hands with every other guest exactly once. There were a total of 1 225 hand shakes. How many guests were there