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The cards in a set of $36$ are numbered $1$ to $36$.
The cards are shuffled and four cards are dealt.
What are the chances of them being dealt in descending order?





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.