What is the number of different 3-digit license plate numbers that can

Question

What is the number of different 3-digit license plate numbers that can be formed if the first digit cannot be 0?

(A) 90
(B) 100
(C) 800
(D) 900
(E) 1,000

CrackverbalGMAT · Answer

There are 10 digits from 0 to 9.

Since 0 cannot be in the first place, we can have any 9 digits in the first place.

There is no restriction on the numbers for the second and third place. They can be filled in 10 ways each.

Total number of ways = 9 * 10 * 10 = 900

Option D

Arun Kumar

howdoesitmatter · Answer

hi  Bunuel ,

the question mentions , so my understanding was they have to be unique.

so for the first position i have 9 digits ( excluding 0)
for second position i have 9 digits (excluding the number at first position)
for third position i have 8 digits (excluding the number at first and second position)
so my answer came out to be 9*9*8= 648

can you please help?

soondoobu · Answer

This is a poorly written question. There is no correct answer. The question states that all 3 digits are different. So, the number of different 3-digit license plate that can be formed is 9 * 9 * 8 = 648.

Fdambro294 · Answer

Both “different” and “3-digit” are adjectives in the sentence.

The structure of two nouns joined together by a hyphen is often used to create a “dual word” adjective before the noun. It is called a compound adjective.

“The “latex-free gloves are better for my hands.”

“Yesterday, he ran the 100-yard dash.”

In the sentence, both “different” and “3-Digit” are adjectives modifying the noun “numbers”.

If we had wanted to say different digits, one way could have been:

“How many 3-digit numbers with different digits are possible.?”

As written, the sentence states that we are looking for numbers/arrangements that are both “different” (I.e., unique) and that have “3-digits.”

Posted from my mobile device

PolarisTestPrep · Answer

Hey,

This is fairly simple

You multiply all of the options in the first position by the options for the second position by the options in the third position

In the first position it can be any number from 1-9, or 9 different possibilities

In the second position it can be any number from 0-9, or 10 different possibilities

In the third position it can be any number from 0-9, 10 different possibilities

Multiply all the possiblilites together:

9 * 10 * 10 =

9 * 100 = 900

The answer is D

What is the number of different 3-digit license plate numbers that can

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What is the number of different 3-digit license plate numbers that can

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards