Question: 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

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 (AZ), or a

non-zero digit (19). 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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