Number Mayhem
Probability
Level
3
Suppose that a set consists of all the possible four digit number combinations of the digits 3, 4, 5, 6, and 7. Given that there are no repetitions of the digits in any given number, what is the sum of all such number combinations.
The answer is 666600.
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there are 5x4x3x2 nos. we have to find their sum.
it is for a four digit no.,
1111 . (sum of digits) . (no. of times a digit occurs in one place)
putting values:
1111 x 25 x 24 = 666600.
[the formula above is derived from the carry method in which we find the unit digit and carry the remaining to tens place in which we primarily see sum of digits x no. of times it occurs...] {a direct formula derived :) }