PROBLEM 4 Solve the following problems: (a) How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25 employees?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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PROBLEM 4
Solve the following problems:
(a) How many ways can a store manager arrange a group of 1 team leader and 3 team workers
from his 25 employees?
(b) A state's license plate has 7 characters. Each character can be a capital letter (A – Z), or a
non-zero digit (1 – 9). How many license plates start with 3 capital letters and end with 4
digits with no letter or digit repeated?
(c) How many binary strings of length 5 have at least 2 adjacent bits that are the same ("00" or
"11") somewhere in the string?
Transcribed Image Text:PROBLEM 4 Solve the following problems: (a) How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25 employees? (b) A state's license plate has 7 characters. Each character can be a capital letter (A – Z), or a non-zero digit (1 – 9). How many license plates start with 3 capital letters and end with 4 digits with no letter or digit repeated? (c) How many binary strings of length 5 have at least 2 adjacent bits that are the same ("00" or "11") somewhere in the string?
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