9430
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2012-09-18T10:55:05
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The cards in a set of $36$ are numbered $1$ to $36$.<br></br>
The cards are shuffled and four cards are dealt.<br></br>
What are the chances of them being dealt in descending order?<br></br>
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If you liked this problem, <a href="/7220">here is an NRICH task</a> which challenges you to use similar mathematical ideas.<br></br>
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The number of different arrangments of the four cards which are dealt is $4\times 3\times2\times1 = 24$.<br></br>
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In only one of these will the four cards be in descending order.<br></br>
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<mdoxml version="1.0">Probability - Stage 4 Short Problem UKMT 1997-2006 p78 Q13</mdoxml>
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Weekly Problem 43 - 2012
Cards are shuffled and four cards are dealt. What are the chances of them being dealt in descending order?
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Secondary Mapping Document
Probability US