Category: General Questions

Problem – 7 Nine women and five men are on the faculty in the mathematics department at a school. a) How many ways are there to select a committee of four members of…

Problem – 6 A club has 45 members. a) How many ways are there to choose four members of the club to serve on an executive committee? b) How many…

Problem – 5 How many bit strings of length 13 have a) exactly three 0s? b) more 0s than 1s? c) at least ten 1s? d) at least three 1s?   Solution:…

Problem – 4 In how many different orders can eight runners finish a race if no ties are allowed?     Solution: Number of possible orders are = 8! = 40320

Problem – 3 How many strings of six uppercase English letters are there a) if letters can be repeated? b) if no letter can be repeated? c) that start with Y,…

Problem – 2 How many strings of five decimal digits a) do not contain the same digit twice? b) end with an even digit? c) have exactly four digits that are 9s?…

Problem – 1 A particular brand of shirt comes in 10 colors, has a male version and a female version, and comes in 4 sizes for each sex. How many different types of…