The same eight people sit in a certain church pew every week, but not always in the same order. Every week, each person hugs the

Question

2 years ago

15

people immediately to his or her left and right. How many weeks does it take (at a minimum) for every pair of people to hug at least once

1 answer:

vfiekz [6] · Answer 1 · 2023-04-21T18:31:53+03:00

It takes 4 weeks at minimum for each pair to hug at least once if they sit in random order.

Analyzing the Given Information

As per the given information,

Number of people = 8

It is given that they sit in random order every week.

W e assume that the order is not repeated.

There are 4 pairs and since a person hugs both the persons on his immediate left and right.

Determining the Number of Weeks

Total number of people to be hugged by each person = 7

Number of people hugged by a person in one week = 2

So, number of weeks taken by each to huge every other person = 7/2

⇒ It will take (3 +1) for every pair to hug.

It takes 4 weeks at a minimum for every pair to hug if we assume that their order is not repeated.

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