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There is a 3 digit positive number such that sum of all its digits is equal to 6. How many such number are possible?

+1 vote
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There is a 3 digit positive number such that sum of all its digits is equal to 6. How many such number are possible?
posted Aug 13, 2015 by anonymous

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2 Answers

+2 votes

sum of digits == 6

,105,114 ,123 , 132 , 141, 150 ,

204,213 ,222 , 231 ,,240,

303, 312 ,,321, 330 ,

402 , 411 , 420,

501 , 510 ,

600

Hence total numbers are ====21

answer Sep 11, 2015 by Ankit Kamboj
+1 vote

1,0,5,these three number can be arrange by 3!=6,since 015 and 051 is not valid hence =4
1,1,4,can be arranged by 3!/2=3
1,2,3, can be arranged by 3!=6
2,2,2 can be arranged by 3!/3!=1
2,0,4 can be arranged by 3!-2=4
3,0,3 can be arranged by 3!/2!-1=2
6,0,0 can be arranged by 1!=1
4+3+6+1+4+2+1=21 is the answer

answer Mar 22, 2016 by Shahsikant Dwivedi
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