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shiwani sharma Grade:
        

how many natural numbers smaller than 10^4 and divisible by 4 can be formed using 01235.


 

6 years ago

Answers : (1)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
										

Dear Shiwani


One digit number- there will be no one digit number


two digit numbers


12,20,32,52 total 4


3 digit number


we have to fix last two digit for the divisibility by 4


last two digits can be 12,20,32,52 corresponding to these first digit can be chosen in 4 ways leaving 0 out of 5 numbers 0,1,2,3,5


so there are 4*4=16 numbers


 


4 digit numbers


again last two digits will be 12,20,32,52 and first digit can be chosen in 4 ways (leaving 0) and 2nd digit can be chosen in 5 ways so for each there will be 4*5=20 numbers total for all the 12,20,32,52 will be 4*20=80 numbers


 


there will be no 5 digit number


 


so total numbers will be= 4+16+80= 100 numbers


 


All the best.                                                           


AKASH GOYAL


AskiitiansExpert-IIT Delhi


 


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6 years ago
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