#Help: Permutations :(

1 messages · Page 1 of 1 (latest)

eternal elk
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a leader have chosen 8 boys out of a group of 12 boys. the leader drop out half of them and took the rest of them to a hall and put them in a straight line. How many different permutations are there for the boys in the hall?
Shouldn't it be 12c8×8c4×4! ?
Answer key: 7257600

solemn zenithBOT
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eternal elk
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If the leader

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Picks 8 and then 4

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Don't u think it's just 12c4

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(i might be wrong but this makes sense to me)

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Like imagine a long series in which teacher picks 12 then 11 then 10 then 9... To 1

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And puts that one student in hall

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Would that change the combinations from 12 to whatever the large number u get

granite kiln
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,w C(12 , 4)

granite kiln
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@eternal elk Wt

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,w C(12,8) * C(8 , 4) * 24

granite kiln
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@eternal elk Your logic was right we will overcount cases this way because Lets take example for smaller case of 4 ppl say A,B , C ,D if first 3 people ate selected say A , B , C

And then A is dropped we are left with B,C if B,C,D were selected and we drop D again B,C
So your answer is overcounting cases @eternal elk

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So answer should be

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,w C(12,4)*(4!)

eternal elk
granite kiln
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,w 10! * 2

granite kiln
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This doesn't make any sense I think he saw the wrong answer in the answer key or answer key is wrong

eternal elk
granite kiln
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It's just a way to reverse engineer an answer while doing PnC 10! Is more likely to appear than 72576

eternal elk
eternal elk
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@eternal elk Thank you too bro