1) For every positive even integer n, the function h(n) is defined to be the product of all even integers from 2 to n inclusive. If p is the smallest prime factor of h(100) + 1, then p is between
a. 2 and 10
b. 10 and 20
c. 20 and 30
d. 30 and 40
e. > 40
2) 5 people are seated around a round table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
a. 5
b. 10
c. 24
d. 32
e. 120
3) A set of 15 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
a. 32
b. 37
c. 40
d. 43
e. 50
a. 2 and 10
b. 10 and 20
c. 20 and 30
d. 30 and 40
e. > 40
2) 5 people are seated around a round table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
a. 5
b. 10
c. 24
d. 32
e. 120
3) A set of 15 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
a. 32
b. 37
c. 40
d. 43
e. 50
