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.
A state issues automobile license plates that begin with two
[#permalink]
05 Aug 2018, 14:37
05 Aug 2018, 14:37
Expert Reply
00:00
Question Stats:
74% (00:57) correct
25% (01:08) wrong based on 139 sessions
Hide Show timer Statistics
A state issues automobile license plates that begin with two letters selected from a 26- letter alphabet, followed by four numerals selected from the digits 0 through 9, inclusive. Repeats are permitted. For example, one possible license plate combination is GF3352.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of possible unique license plate combinations |
6,000,000 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: A state issues automobile license plates that begin with two
[#permalink]
07 Aug 2018, 06:16
07 Aug 2018, 06:16
Expert Reply
Explanation
This is a combinatorics problem. The license plates have 2 letters followed by 4 numbers, so make 6 “slots” and determine how many possibilities there are for each slot. There are 26 letters in the alphabet and 10 digits to pick from, so:
Capture.PNG [ 16.87 KiB | Viewed 7590 times ]
Multiply 26 × 26 on the calculator to get 676. Add four zeros for the four 10’s to get 6,760,000. Quantity A is greater.
This is a combinatorics problem. The license plates have 2 letters followed by 4 numbers, so make 6 “slots” and determine how many possibilities there are for each slot. There are 26 letters in the alphabet and 10 digits to pick from, so:
Attachment:
Capture.PNG [ 16.87 KiB | Viewed 7590 times ]
Multiply 26 × 26 on the calculator to get 676. Add four zeros for the four 10’s to get 6,760,000. Quantity A is greater.
Re: A state issues automobile license plates that begin with two
[#permalink]
04 Dec 2018, 10:49
04 Dec 2018, 10:49
Hi,
Please clarify the following doubt - how can the license plate be unique if we repeat the alphabets /numbers? Thanks.
Please clarify the following doubt - how can the license plate be unique if we repeat the alphabets /numbers? Thanks.
