a number plate is to consist of 3 letters of the English alphabet and 2 digits.i

Question

a number plate is to consist of 3 letters of the English alphabet and 2 digits.if no letter or digit can be repeated and 0 can never be used as the first digit, how many different plates can be manufactured a number plate is to consist of 3 letters of the English alphabet and 2 digits.if no letter or digit can be repeated and 0 can never be used as the first digit, how many different plates can be manufactured a number plate is to consist of 3 letters of the English alphabet and 2 digits.if no letter or digit can be repeated and 0 can never be used as the first digit, how many different plates can be manufactured

Explanation / Answer

There are 26 choices of letters and 10 choices of numbers from 0 to 9

Repitations are not allowed

For first place there are 26 choices

For second place there are 25choices and

for third place there are 24 choices,

Therefore, there are 26*25*24 ways to select 3 letters without repetations =15600

and now for digits

There are 9 choices for first digit as we cannot use 0 as first digit and

we have 9 choices for second digit, as also we cannot repeat the digit also

Therefore, we have total 92 = 81 choices for digits

Therefore the total number of different plates can be manufactured are = 15600*81 = 1263600

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