ourteen students have volunteered for a committee. Eight of them are seniors and six of them are juniors. Suppose the committee must have five students (either juniors or seniors) and that one of the five must be selected as chair. How many ways are there to make the selection? Hint: begin by using the formula for counting subsets.

ourteen students have volunteered for a committee. Eight of them are seniors and six of them are juniors. Suppose the committee must have five students (either juniors or seniors) and that one of the five must be selected as chair. How many ways are there to make the selection? Hint: begin by using the formula for counting subsets.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.
To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 48 numbers (1 through 48). The order in which the selection is made does not matter. How many different selections are possible?
-Powerball lottery requires choosing five of the numbers 1 through 59 and one number from 1 through 35. How many Powerball lottery tickets are there?
At a movie festival, a team of judges is to pick the first, second, and third place winners from the 57 films entered. How many possibilities are there? There are possibilities for picking the first, second, and third place winners. (Type a whole number.)