Difference between revisions of "2022 AMC 12A Problems/Problem 19"

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==Problem==
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#redirect [[2022 AMC 10A Problems/Problem 22]]
 
 
Suppose that 13 cards numbered 1, 2, 3, . . . , 13 are arranged in a row. The task is to pick them up in numerically increasing order, working repeatedly from left to right. In the example below, cards 1, 2, 3 are picked up on the first pass, 4 and 5 on the second pass, 6 on the third pass, 7, 8, 9, 10 on the fourth pass, and 11, 12, 13 on the fifth pass.
 
 
 
For how many of the 13! possible orderings of the cards will the 13 cards be picked up in exactly
 
two passes?
 
 
 
 
 
==Solution==
 
 
 
https://youtu.be/ZGqrs5eg6-s
 
 
 
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com)
 

Latest revision as of 19:38, 13 November 2022