how many different license plates can be made if each license plate is to consist of 2 letters, followed by 3 digits, and no letters or digits may repeat? a) 469,000 b) 466,000 c) 472,000 d) 463,000 e) 468,000 f) none of the above.

Question

26-10-2022
Mathematics

Answered

how many different license plates can be made if each license plate is to consist of 2 letters, followed by 3 digits, and no letters or digits may repeat? a) 469,000 b) 466,000 c) 472,000 d) 463,000 e) 468,000 f) none of the above.

Answer :

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Qwline Qwline · Answer 1 · 2022-10-28T13:32:43-04:00

Option e. 468,000 is the correct answer about the number of different license plates that can be made from the given letter and digit combination

We need to choose 2 letters from 26 English alphabets, and 3 digits from 0-9

Choosing digits:

The first digit among the digits can be chosen in 10 ways

The second digit among the remaining digits can be chosen in 9 ways

The third digit can be chosen in 8 ways

Choosing letters:

The first letter can be chosen in 26 ways

The second letter can be chosen among the remaining alphabet in 25 ways

So, the total number of ways in which the license plate can be made = 26*25*10*9*8 = 468,000

Learn more about permutation and combination:

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