perplexus.info :: Numbers : Equally divided

Equally divided (Posted on 2022-05-22)

In a Senate of n Senators, itemized lists of all possible k member subcommittees were prepared.

Prove that for any k ≥ 3 the number of possible distinct subcommittees is even and the Senators are evenly divided between subcommittees with either an odd or even number of participants.

Why the constraint that k is at least 3?

No Solution Yet Submitted by Ady TZIDON

Rating: 3.0000 (2 votes)

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re: True and Fal;se (possible spoiler)

| Comment 2 of 3 |

(In reply to True and Fal;se (possible spoiler) by Steve Herman)

Read the puzzle again

You erred by your interpretation of n = # of Senators , all of them. & k = size of the subcommittee.

Please reconsider your answer accordingly, part of it is correct.

Posted by Ady TZIDON on 2022-05-25 15:51:32

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