Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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 A license plate in a particular county consists of 6
characters. The first 3 characters must be a letter and cannot repeat. The last 3
characters can be any letter or number with no restrictions.
How many distinct license plates
are possible with these conditions? |  | | |
a. | 8,100 | c. | 727,833,600 | b. | 668,304,000 | d. | 820,025,856 |
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2.
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 A student number system for a county requires that the student
number be 5 characters.
The first 4 characters are any single digit number, but no character can
repeat and the last character must be a letter. How many unique student numbers are possible? |  | | |
a. | 30,240 | c. | 260,000 | b. | 131,040 | d. | 315,160 |
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3.
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 The latest Y-Phone comes in 3 different
models (X2, X-Plus, X-SE). Each of those models comes with 2 different storage capacity levels
(256GB and 512GB). Each of the models also comes in 4 different colors (Black, Red, Gold, and
White).
How many different types of these latest Y-Phones are being
manufactured?
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4.
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 A middle school is creating schedules for
the upcoming semester. The person in charge of the schedules has to create a 6 period
schedule. The person creating the schedule can only choose from one of the six options (Math,
Language Arts, Social Studies, Science, PE, and Art) each period and you they cannot
repeat the same class.
How many different period schedules are possible? | | | |
a. | 21 | c. | 15,625 | b. | 720 | d. | 46,656 |
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5.
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 How many phone numbers are possible in the (770) area code
if:
For the form ABC-XXXX, A is restricted to numbers 2-9. B, C, and X can be any digit
0-9. Also, the ABC of the phone number cannot be 911. |  | | |
a. | 7,000,000 | c. | 7,999,999 | b. | 7,990,000 | d. | 8,000,000 |
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