Question

Suppose an automobile number plate contains two letters followed by three digits with the first digit not zero. How many different number plates can be printed? (Assuming repetition allowed).​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given,

Number of letters on the plate = 2

Number of digits on the plate = 3

To Find,

The number of different number plates that can be printed =?

Solution,

Number of alphabets = 26

Number of options to print 1st letter = 26

Number of options to print 2nd letters = 26

Number of digits = 10

Number of options to print 1st digit (Excluding 0) = 9

Number of options to print 2nd digit = 10

Number of options to print 3nd digit = 10

Total number of different number plates that can be printed = Product of options for all 5 places

Total ways = 26 * 26 * 9 * 10 * 10

Total ways = 676 * 100 * 9

Total ways = 608400 ways

Hence, we can print 608400 different automobile number plates.