perplexus.info :: Just Math : Consecutive Numbers and Subset Choice

Consecutive Numbers and Subset Choice (Posted on 2016-02-09)

M is the number of six-element subsets that can be chosen from the set of the first 15 positive integers so that at least three of the six numbers are consecutive.
Find M.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

The required value of M is 4310.
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
General Solution (from the first T numbers)	Steve Herman	2016-02-10 20:55:43
Just counting (spoiler)	Steve Herman	2016-02-10 19:49:00
possible (?) solution	Ady TZIDON	2016-02-09 21:27:48
found the error in method 2	Charlie	2016-02-09 16:29:47
on the other hand	Charlie	2016-02-09 16:15:26
2 computer solutions; the second is probably right	Charlie	2016-02-09 16:06:19

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