TOPIC :Evaluating Combination Notation Analyze and answer the following problems. a)In the Philippine 6/42 lotto, a bet consists of choosing any 6 numbers in no particular order from 1 to 42. In how many possible bets can be made? b)A club contains the President, the Secretary, and 10 other members. The club is asked to send a group of 4 representatives to a conference. Calculate the number of different ways in which the group can be formed if it must contain either the President or the Secretary, but not both. c)A committee of 6 members is to be chosen from 7 women and 5 men. Calculate the number of ways this can be done if a minimum of 4 men must be chosen.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 4CC
icon
Related questions
Question

TOPIC :Evaluating Combination Notation

  1. Analyze and answer the following problems.

a)In the Philippine 6/42 lotto, a bet consists of choosing any 6 numbers in no particular order from 1 to 42. In how many possible bets can be made?

b)A club contains the President, the Secretary, and 10 other members. The club is asked to send a group of 4 representatives to a conference. Calculate the number of different ways in which the group can be formed if it must contain either the President or the Secretary, but not both.

c)A committee of 6 members is to be chosen from 7 women and 5 men. Calculate the number of ways this can be done if a minimum of 4 men must be chosen.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning