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27 Aug 2024, 07:28
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27 Aug 2024, 07:45
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SwethaReddyL
That’s not correct, as it doesn’t yield the correct answer. It should be 10P3 instead of 10C3. I’d advise studying other approaches, many of which are discussed on the previous two pages.
29 Oct 2024, 14:20
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p164
how to solve this kind.
take the total possible outcomes --> 10 * 9 * 8 = 720
_ _ _
now take the case where harry is in the second place
_ H _
how many ways can we combine all the people in the 2 spaces?
in the first space there must be 1 of the (10-1) 9 people (because we are excluding harry that has been ALREADY chosen for the second position). how many ways can we arrange the people in the third position? --> same thing, we have 8 people left (one is harry, the other has been chosen as president), so 8 possibilities for the third position. in total we have 9*8 = 72 possibilities for both position.
the concept is IDENTICAL for the case where harry arrives third. we have
_ _ H
9 possibilities for the first (exclude harry that is third)
8 possibilities for the second (exclude harry and the first person that has been chosen)
9*8 = 72
in total we have 72 + 72 = 144 "positive cases" and 720 as our sample space.
meaning in total we have 144/72 = 1/5
how to solve this kind.
take the total possible outcomes --> 10 * 9 * 8 = 720
_ _ _
now take the case where harry is in the second place
_ H _
how many ways can we combine all the people in the 2 spaces?
in the first space there must be 1 of the (10-1) 9 people (because we are excluding harry that has been ALREADY chosen for the second position). how many ways can we arrange the people in the third position? --> same thing, we have 8 people left (one is harry, the other has been chosen as president), so 8 possibilities for the third position. in total we have 9*8 = 72 possibilities for both position.
the concept is IDENTICAL for the case where harry arrives third. we have
_ _ H
9 possibilities for the first (exclude harry that is third)
8 possibilities for the second (exclude harry and the first person that has been chosen)
9*8 = 72
in total we have 72 + 72 = 144 "positive cases" and 720 as our sample space.
meaning in total we have 144/72 = 1/5
? 
