GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In a certain state, each license plate consists of either th
[#permalink]
Updated on: 24 Sep 2018, 10:06
Updated on: 24 Sep 2018, 10:06
00:00
Question Stats:
68% (02:22) correct
31% (01:54) wrong based on 16 sessions
Hide Show timer Statistics
In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive) followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and AAA-70 are all acceptable plates. How many different license plates can the state issue?
Show: :: OA
2433600
Re: Question
[#permalink]
24 Sep 2018, 08:06
24 Sep 2018, 08:06
3
Expert Reply
MAged wrote:
In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive)
followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and
AAA-70 are all acceptable plates. How many different license plates can the state issue?
followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and
AAA-70 are all acceptable plates. How many different license plates can the state issue?
So license plates can be:
There are 10 number and 26 letters. Each blank that can take a number has 10 option (0-9) and each blank that can take letters has 26 options (A-Z)
Looking at each case:
3 number 2 letters
number of combinations= \(10 \times 10 \times 10 \times 26 \times 26\)=676000
2 number 3 letters
number of combinations= \(10 \times 10 \times 26 \times 26 \times 26\)=1757600.
Adding the two cases:
Total combination=2433600.
In a certain state, each license plate consists of either th
[#permalink]
29 Mar 2019, 06:02
29 Mar 2019, 06:02
In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive) followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and AAA-70 are all Acceptable plates. How many different license plates can the state issue?
