4 G DI -1 Ic < 2/2 - NI 26 letters 10 digits 0-9 digits = 10 digits { possible numbers} 10 x 10 x 10 x 10 x 10 x 10 - 5) When you get to college you will be assigned a new Student Identification Number. If this number is 9 digits long followed by 2 letters, how many possible students can the school accommodate? FORGE ('A''B') ('H' and 'C') ('U') {any digits 0-5} {any digits2-9} {has to be 0} D 6) The phone numbers on the Kennesaw State University campus have the form SSS-AHS- BUCS, where S can be the digits 1 to 9, A and B can be the digits 0 to 5, H and C can be any even number between 2 and and U has to be the number 0. How many possible numbers are there on campus? Broy Why did you GED * op? Keep going?
4 G DI -1 Ic < 2/2 - NI 26 letters 10 digits 0-9 digits = 10 digits { possible numbers} 10 x 10 x 10 x 10 x 10 x 10 - 5) When you get to college you will be assigned a new Student Identification Number. If this number is 9 digits long followed by 2 letters, how many possible students can the school accommodate? FORGE ('A''B') ('H' and 'C') ('U') {any digits 0-5} {any digits2-9} {has to be 0} D 6) The phone numbers on the Kennesaw State University campus have the form SSS-AHS- BUCS, where S can be the digits 1 to 9, A and B can be the digits 0 to 5, H and C can be any even number between 2 and and U has to be the number 0. How many possible numbers are there on campus? Broy Why did you GED * op? Keep going?
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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Transcribed Image Text:**Unit 1: Are You Ready**
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5) **Student Identification Number Calculation**
When you get to college, you will be assigned a new Student Identification Number. If this number is 9 digits long followed by 2 letters, how many possible students can the school accommodate?
- **26 letters**
- **10 digits**
- Each digit can be from 0-9, so there are 10 possible numbers per digit position.
To calculate the total number of combinations:
- 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 (for the 9 digits)
- 26 x 26 (for the 2 letters)
The total number of combinations is:
\(10^9 \times 26^2\).
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6) **Kennesaw State University Campus Phone Numbers**
The phone numbers on the Kennesaw State University campus have the form SSS-AHS-BUCS, where:
- **S** can be the digits 1 to 9
- **A** and **B** can be the digits 0 to 5
- **H** and **C** can be any digit between 2 and 9
- **U** has to be 0
To calculate the total number of possible phone numbers on campus:
- **S**: 9 options (digits 1-9)
- **A, B**: 6 options each (digits 0-5)
- **H, C**: 8 options each (digits 2-9)
- **U**: 1 option (digit 0)
This gives the total combinations as:
\(9^3 \times 6 \times 8^2 \times 1\).
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