In: Statistics and Probability
DISCRETE MATH
a. How many integers between 1 and 1000 are divisible by either 7 or 11?
b . How many integers between 1 and 1000 have distinct digits?
c .A student council consists of 15 students. Two council members always insist on serving on committees together. If they cannot serve together, they will not serve at all. How many ways can a committee of six be selected from the council membership?
d. A set of five distinct computer science books, three distinct math books, and two distinct art books are available. In how many ways can these books be arranged on a shelf if the two art books are not together?