Combination of Atleast One Thing from n Things When All Are Not Different
The sum of al...
Question
The sum of all the four digit numbers formed with the digits 0,1,2,3 taken all at a time is
A
6(4!)
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B
38000
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C
38664
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D
noneofthese
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Solution
The correct option is C38664 Theno.canbewrittenas3×3×2×1=18because0cannotbefilledatfirst183=6sumofno.atIplace=66×(1+2+3)=36sumofno.atIIplace=66×0+4(1+2+3)=24sumofno.atIIIplace=66×0+4(1+2+3)=sumofno.atIVplace6×0+4(1+2+3)=2436×1000=3600024×100=240024×10=24024×1=24=38664