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Problem Solving (PS) | How many positive integers less than 9999 are there in which the sum o

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DH99 wrote:

How many positive integers less than 9999 are there in which the sum of the digits equals 6?

(A) 55
(B) 60
(C) 61
(D) 63
(E) 120


0006 - 4!/3! ways
1500 - 4!/2! ways
2400 - 4!/2! ways
3300 - 4!/2!2! ways
2220 - 4!/3! ways
1230 - 4! ways
1113 - 4!/3! ways

Add all: 66 ways. But answer is not matching.

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