Question

Jo is going on a 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday.


Question: How many different schedules are possible?

I answered 6540 . is it correct?​

Answer 1

Given : Jo is going on a 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday.

To Find : How many different schedules are possible?

Solution:

Question data is not correct.

As if She never does different water sports on consecutive days

hence all 8 days she has to do only one sport activity

so only 3 ways and condition is not fulfilled that she try all 3 options

Assuming She never does same water sports on consecutive days

and she try all 3 options

on 1st Day - all 3 options

on 2nd day only 2 options as same can not be repeated

on 3rd day again 2 option

and so on

3 * 2^7

= 384 options

but this include cases where only 2 options tried

= 3×2×1^6 = 6

384-6 = 378 different schedules are possible

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Answer 2

Answer:

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Jo is going on a 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday. How many different schedules are possible?

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Answer:

Answer:6 ways

Step-by-step explanation:given number of Sports: 3

required determine the total number of schedules.

Since, there are 3 sports and the schedule is in no particular order.

The number of schedules is calculated as thus:Number = n!\ ways number=n! ways

where:n = 3n=3

So, we have:Number = 3 * 2 * 1\ ways number=3∗2∗1

ways number = 6\

ways number=6 ways