1. A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find P(Less than 3).

a. 1/4

b. 2/3

c. 1/12

d. 1/6

2. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

a. 564

b. 645

c. 735

d. 756

3. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

a. 5

b. 10

c. 15

d. 20

4. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

a. 266

b. 5040

c. 11760

d. 86400