MAD 1100
Fall 11
Ref: 84698
Mr. Guillen
Review for Exam 2
Exam 2 will be on 10/20/11 and covers the following sections: 3.2, 3.3, 4.1, 4.2, 4.3, 4.4.
Solve the problem.
1) Suppose there are 6 roads connecting town A to town B and 4 roads connecting town B to
town C. In how many ways can a person travel from A to C via B?
1)
2) How many 5

digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if
repetitions of digits are allowed?
2)
3) How many 5

digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions
are not allowed?
3)
4) How many 3

digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions
are not allowed?
4)
5) How many 4

digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if
repetitions of digits are allowed?
5)
6) How many 3

digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions
are not allowed?
6)
7) License plates are made using 2 letters followed by 3 digits. How many plates can be
made if repetition of letters and digits is allowed?
7)
8) License plates are made using 2 letters followed by 2 digits. How many plates can be
made if repetition of letters and digits is allowed?
8)
9) At a lumber company that sold shelves, a customer could choose from 3 types of wood, 3
different widths and 4 different lengths. How many different types of shelves could be
ordered?
9)
10) How many different three

digit numbers can be written using digits from the set {1, 2, 3,
4, 5} without any repeating digits?
10)
11) A license plate is to consist of 2 letters followed by 4 digits.
Determine the number of
different license plates possible if repetition of
letters and numbers is not permitted.
11)
12) A license plate is to consist of 2 letters followed by 3 digits.
Determine the number of
different license plates possible if repetition of
letters and numbers is not permitted.
12)
13) A license plate is to consist of 3 letters followed by 4 digits.
Determine the number of
different license plates possible if the first letter must be an N , M ,
or P and repetition of
letters and numbers is not permitted.
13)
14) A license plate is to consist of 3 letters followed by 5 digits.
Determine the number of
different license plates possible if the first letter must be an N , M ,
or P and repetition of
letters and numbers is not permitted.
14)