2. Dumbledore needs to form a committee of Hogwarts' students to plan the Yule ball. The committee will be chosenfrom the seventh year students of which there are the following broken down by the house in which they reside:13 Hufflepuffs8 Slytherins8 Gryffindors• 11 RavenclawsHow many ways can he form the 8 person committee if it must consist of at least one Hufflepuff is on the committeeand no Slytherins?

Given that, Given condition is the committee has 8 persons with at least one Hufflepuff is on the…

Answered: 2. Dumbledore needs to form a committee…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.
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A committee of 5 people is to be formed from the following 10 people: Len, Mia, Max, Ted, Mel, Ann, Jim, Tim, Moe, Kim. How many combinations are there if there must be exactly 3 people on the committee whose names start with 'M'? Select one: O a. 10C5 O b. Oc. O d. 10P5 (4C3) (6C₂) (4P3) (6P2)
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