Arithmetic Aptitude :: Problems on Numbers

8. How many positive integers less than 4300 of digits 0-4.

Answer: Option C

Explanation :

one digit no =4 (0 is not a positive integer)
two digit no=4*5=20
three digit no=4*5*5=100
four digit no=3*5*5*5=375(the possibility for 1,2,3 will come in the first position)four digit no=1*3*5*5(the possibility of 4is fixed in the first position and then 0,1,2 is comes in second position)and the last digit is 4300 we include this number also
4+20+100+375+75+1=575

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