Question

A license plate is to consist of 3 digits followed by 5 uppercase letters. Determine the number of different license plates possible if the first and second digits must be? odd, and repetition is not permitted. Choose the correcrt answer below. A. 707 comma 266 comma 560 comma 000 B. 7 comma 893 comma 760 C. 1 comma 262 comma 976 comma 000 D. 63 comma 653 comma 990 comma 400 comma 000

Answer #1

We have 5 choices for first place: (1,3,5,7,9)

since repetation is not allowed, for 2nd place our choice will decrease by 1 ,that is becomes 4.

For third place there are 10-2=8 choices, because from (0 to 9, already 2 numbers are assigned to 1st and 2nd place).

For first letter we have 26 choices (A to Z), for 2nd letter we have 25 choices, for 3rd letter we have 24 choices, for 4th letter we have 23 choices, for 5th letter we have 22 choices.

So total number of possible license plates=5*4*8*26*25*24*23*22=1,262,976,000.

oprion C is correct.

A license plate is to consist of 4 digits followed by 2
uppercase letters. Determine the number of different license plates
possible if the first and second digits must be odd, and
repetition is not permitted.

A license plate is to consist of 3 letters followed by
33
digits. Determine the number of different license plates
possible if the first letter must be an K, L, or M and repetition
of letters and numbers is not permitted.
A.
1 comma 296 comma 0001,296,000
B.
1 comma 386 comma 0001,386,000
C.
9 comma 072 comma 0009,072,000
D.
162 comma 000

How many license plates can be made with 3 letters followed by 3
digits exist if exactly one of the digits is 1? Repetition of
either letter or digit is permitted.
Example of a valid plate: AAA122

A license plate consists of 3 letters followed by 3 digits. How
many license plates are possible if the first digit cannot be 0,
and letters and digits may repeat?

Illinois license plates used to consist of either three letters
followed by three digits or two letters followed by four
digits.
Write an algorithm in pseudocode that will print out all possible
Illinois license plates.

Illinois license plates used to consist of either three letters
followed by three digits or two letters followed by four digits.
Assume that all the different possible license plates are equally
likely.
(a) What is the probability that a randomly chosen plate
contains the number 4444? (Round your answer to six decimal
places.)
(b) What is the probability that a randomly chosen plate contains
the substring BE? (For example, BE4321 or PBE786 are two ways BE
might appear. Round your...

a
license plate uses 2 digits followed by 3 letters, if the numbers 1
and 0 can not be used in the digits and the letter "O" can not be
used for any letter how many different license plates can be
made?

2. License plates in a given state must consist of three letters
followed by four digits. The state's DMV has determined that there
are eighteen three-letter words that cannot appear on license
plates, and there are five four-digit numbers that cannot appear.
How many license plates are banned? Your answer may be given as an
integer, or as a formula. Either is acceptable.

A license plate consists of 4 capital letters followed directly
by 3 digits. How many plates are there which does not have 2
and G in it? Example: Cannot be AIDG352, but it
can be GGGG134 or EOSL2222.

a license plate consists of 2 letters followed by 4 numbers and
to avoid confusion, the numbers 1 and 0 are not used. how many
different license plates are possible? How many plates are possible
if repetition is not allowed?
Applied Mathematics - probability and statistics

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