A car plate is written by taking 3 alphabets and 3 integers, if after 3 alphabets 3 zeros are not

M4maths Previous Puzzles

24 Dec 2009 how may number plates are possible?

A car plate is written by taking 3 alphabets and 3 integers, if after 3 alphabets 3 zeros are not allowed,
then total possible car plates with no code repeated are ?

OPtion

1) 11232000
2) 17576000
3) 17576
4) 17593576
5) 17558424
6) 14236560
7) 15600000
8) 17568424
9) 12812904
10) 15818400

Solution

total alphabets are 26 hence total possibilities for taking 3 alphabets are 26*26*26 = 17576
Total integers are 10 hence total possibilities for taking 3 integers are
10*10*10 = 1000
Total number of avoided cases are 26*26*26*1*1*1 = 17576
Therefore answer is 17576 * 1000 – 17576 = 17558424

Correct Option: 5 Best Solution (0)