What is the sum of five digit numbers formed by 0,1,2,3,4 which are less than 20,000 where the digits are not repeated
Answers
Answer:
Step-by-step explanation:
The possible 5 digit nos are
10234,10243,10324,10342,10423,10432,12034,12043,12304,12340,12403,12430,13024,13042,13204,13240,13402,13420,14023,14032,14203,14230,14302,14320
The sum of above digits are 299994
The sum of five digit numbers formed by 0,1,2,3,4 which are less than 20,000 where the digits are not repeated is 259980
Step-by-step explanation:
There are 4X4X3X2=96 such numbers. Important digits can be 1,2,3 and 4 which can have 24 occurrence .
Remaining 72 numbers will 0's and therefore 72X4-72=216
Overall occurrences of 1,2,3 and 4 in other places.
216/4=54 1's, 2's, 3's and 4's.
18 1's,2's,3's and 4's at hundredth, tenth and unit place.
[1+2+3+4]X24X1000 [occurrences at thousand's place]+[1+2+3+4] X 18 X[1+10+100]
=259980
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