A primary school has 9 students, and we'd like to award 4 prizes to 4 different students. Each student can receive at most one prize. How many ways are there to award the prizes if: 1. All the prizes are the same. 2. All the prizes are the same and Tom, the youngest student, is not awarded a prize. 3. All the prizes are different. 4. All the prizes are different and Tom, the youngest student, is not awarded a prize.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A primary school has 9 students, and we'd like to award 4 prizes to 4 different students.
Each student can receive at most one prize. How many ways are there to award the prizes
if:
1. All the prizes are the same.
2. All the prizes are the same and Tom, the youngest student, is not awarded a prize.
3. All the prizes are different.
4. All the prizes are different and Tom, the youngest student, is not awarded a prize.
Transcribed Image Text:A primary school has 9 students, and we'd like to award 4 prizes to 4 different students. Each student can receive at most one prize. How many ways are there to award the prizes if: 1. All the prizes are the same. 2. All the prizes are the same and Tom, the youngest student, is not awarded a prize. 3. All the prizes are different. 4. All the prizes are different and Tom, the youngest student, is not awarded a prize.
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