2. Dumbledore needs to form a committee of Hogwarts' students to plan the Yule ball. The committee will be chosen from the seventh year students of which there are the following broken down by the house in which they reside: • 13 Hufflepuffs 8 Slytherins • 8 Gryffindors • 11 Ravenclaws How many ways can he form the 8 person committee if it must consist of at least one Hufflepuff is on the committee and no Slytherins?
2. Dumbledore needs to form a committee of Hogwarts' students to plan the Yule ball. The committee will be chosen from the seventh year students of which there are the following broken down by the house in which they reside: • 13 Hufflepuffs 8 Slytherins • 8 Gryffindors • 11 Ravenclaws How many ways can he form the 8 person committee if it must consist of at least one Hufflepuff is on the committee and no Slytherins?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 79E: Dance Committee A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5...
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Transcribed Image Text:2. Dumbledore needs to form a committee of Hogwarts' students to plan the Yule ball. The committee will be chosen
from the seventh year students of which there are the following broken down by the house in which they reside:
13 Hufflepuffs
8 Slytherins
8 Gryffindors
• 11 Ravenclaws
How many ways can he form the 8 person committee if it must consist of at least one Hufflepuff is on the committee
and no Slytherins?
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