1. If (A U B subset A U C) then B subset C. True or False?

2. The number of ways a coin can be tossed 8 times so that there is exactly 4 heads and no two heads occur in a row is

a) 2

b) 3

c) 4

d) 5

e) none of these

3. What is the remainder when 1! + 2! + 3! + ...+ 99! + 100! is divided by 420?

a) 8

b) 15

c) 22

d) 68

e) none of these