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Question

How many numbers (N) can we have, such that 100<N<1000 with the sum of the digits of these numbers as 10?

A
55
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B
66
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C
78
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D
27
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E
52
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Solution

The correct option is A 55

Use the concept of grouping, for a three digit number ABC

A+B+C = 10, A >1

It changes to A + B + C = 9

Number of possible solutions = 11C2 = 55


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