Question

1) Suppose of the 4,000 freshmen at a college everyone is enrolled in a mathematics or an English class during a given quarter. If 2,000 are enrolled in a mathematics class, and 3,000 in an English class, how many are enrolled in both a mathematics class and an English class?

2) At a manufacturing plant, a product goes through assembly, testing, and packing. If a plant has three assembly stations, two testing stations, and two packing stations, in how many different ways can a product achieve its completion?

3) In how many ways can a 10-question multiple choice test with four possible answers for each question be answered?

Answer 1

1) 2,000 + 3,000 - 4,000 = ?

2) If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

3 * 2 * 2 = ?

3) 4^10 = ?