Permutations and Combinations Questions

1:

Number n of license plates that can be made where each plate contains two distinct letters followed by three different digits is

A.

486000

B.

468000

C.

498000

D.

489000

 

Answer : B

Explanation :

n = 26 x 25 x 10 x 9 x 8 = 468000.
i.e. there are twenty-six choices for the first letter, but only twenty-five choices for the second letter which must be different from the first letter. Similarly, choices for the digits are 10, 9 and 8 since the digits must be distinct.

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Option: A

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