The Communicative Sisters

Logic Level 4

Six sisters keep in touch with each other by phone every Sunday evening. When two sisters make contact, they update each other on the news about themselves and about any news gleaned about their other sisters from previous calls that day.

What is the smallest number of phone calls required for all the six sisters to be updated about each other?


The answer is 8.

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1 solution

Mark each sister: 1 2 3 4 5 6.

They communicate in this order:

1) 2 - 3

2) 3 - 1

3) 5 - 6

4) 6 - 4

5) 1 - 4

6) 3 - 6

7) 2 - 3

8) 4 - 5

UGGGGHHHHHHH i was doing this problem at 330 in the morning and for some reason(i'm going with being tired) i only did it with 3 sisters. -_- on that note it's time for bed

michael bye - 5 years, 10 months ago

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