Q7 of 64 Page 122

How many automobile license plates can be made if each plate contains two different letters followed by three different digits?

Given:-


Number of letters in automobile license plates =2


We know that there are 26 alphabets


so, without repetition letter can be arranged


= 26×25


=650


Number of digitsin automobile license plates =3


We know that there 10 digits



Hence the no of digits with no repetitions


=10×9×8=720


Total number of way automobile license plates


=720×650


=468000


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