Combination of n Different Things Taken One or More at a Time
The sum of th...
Question
The sum of the digit in the unit’s place of four digit numbers formed using digits 3,4,5,6 taken all at a time is
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Solution
If we fix 3 in the unit place, Number of 4 digit numbers possible are 3×2×1.
Similarly, if 4,5, and 6 are fixed in units place, Number of 4 digit numbers possible are 3×2×1. ∴ Required sum of digits in units place is =(3+4+5+6)(3×2×1)=18×6=108