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1. In a certain town the bus tickets are numbered 0000 to 9999, and children collect those with digits adding up to 21. How many will there be in a sequence of tickets from 0000 to 9999?
2. (Original post by NYCheesecake)
In a certain town the bus tickets are numbered 0000 to 9999, and children collect those with digits adding up to 21. How many will there be in a sequence of tickets from 0000 to 9999?
Decide how many different sets of 4 numbers add up to 21. Then decide how many different numbers you can make with each set of numbers.

e.g. 7,7,7 and 0 can be arranged in 4 ways, 0777, 7077, 7707 and 7770.

6,7,8 and 0 can be arranged in 4! ways, etc.

This question goes on a bit! Or am I missing something clever?

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Updated: September 11, 2016
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