Problem 1
Find the number of positive integers \(\leq 1976\) and divisible by: 2 or 3
Problem 2
Two dice are rolled. Find the probability of obtaining each event. A sum of \(11,\) knowing that one die shows an odd number.
Problem 3
Evaluate each. $$P(5,3)$$
Problem 3
Find the number of positive integers \(\leq 1000\) and \(n\) ot divisible by: 3 or 5
Problem 4
Evaluate each. $$P(6,6)$$
Problem 5
Two dice are rolled. Find the probability of obtaining: Two fives.
Problem 5
Find the number of ways a committee of three students and five professors can be formed from a group of seven students and 11 professors.
Problem 6
Two dice are rolled. Find the probability of obtaining: A five and a six.
Problem 7
Find the number of lines that can be drawn using 10 distinct points, no three being collinear.
Problem 8
Find the number of triangles that can be drawn using 10 points, no three being collinear.