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In how many different ways can seven different numbers be chosen from the numbers $1$ to $9$ so that the seven numbers have a total which is a multiple of $3$?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Seven from Nine
Age 11 to 14
ShortChallenge Level 
In how many different ways can seven different numbers be chosen from the numbers $1$ to $9$ so that the seven numbers have a total which is a multiple of $3$?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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