Discrete Math: Q# 1. How many strings of 9 letters can be created if the first and last letter must be the same? Is this 26^8 * 25? Q#2. How many ways can a president, a vice-president, and a treasurer be chosen from a committee of 20 people? Is this 1140? I got this using the combinatorics definition using P(20,3)=20!/3!(20-3)1 Or is it 20!/(20-3)!=6840? I'm not sure which one to use. Q#3. How many numbers are there between 5 and 157 that are divisible by 3? Is this 52-3+1=50? I'm just going over some practice questions and want to make sure I'm on the right track. Thanks :)
Discrete Math: Q# 1. How many strings of 9 letters can be created if the first and last letter must be the same? Is this 26^8 * 25? Q#2. How many ways can a president, a vice-president, and a treasurer be chosen from a committee of 20 people? Is this 1140? I got this using the combinatorics definition using P(20,3)=20!/3!(20-3)1 Or is it 20!/(20-3)!=6840? I'm not sure which one to use. Q#3. How many numbers are there between 5 and 157 that are divisible by 3? Is this 52-3+1=50? I'm just going over some practice questions and want to make sure I'm on the right track. Thanks :)
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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Discrete Math:
Q# 1. How many strings of 9 letters can be created if the first and last letter must be the same?
Is this 26^8 * 25?
Q#2. How many ways can a president, a vice-president, and a treasurer be chosen from a committee of 20 people?
Is this 1140? I got this using the combinatorics definition using P(20,3)=20!/3!(20-3)1
Or is it 20!/(20-3)!=6840? I'm not sure which one to use.
Q#3. How many numbers are there between 5 and 157 that are divisible by 3?
Is this 52-3+1=50?
I'm just going over some practice questions and want to make sure I'm on the right track.
Thanks :)
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