Suppose that in a certain country, all automobile license plates have four letters followed by three

digits.

(a) How many different license plates are possible?

answer : 26 x 26 x 26 x 26 x 10 x 10 x 10

(b) How many license plates could begin with A and end in 0?

answer : 1 x 26 x 26 x 26 x 10 x 10 x 1

(c) How many license plates could begin with TGIF?

answer :1 x 10 x 10 x 10

(d) How many license plates are possible in which all the letters and digits are distinct?

answer : 26 x 25 x 24 x 23 x 10 x 9 x 8

(e) How many license plates could begin with AB and have all letters and digits distinct?

answer : 1 x 24 x 23 x 10 x 9 x 8

Note: Letters: A-Z (total of 26) and Digits: 0-9 (total of 10)

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