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Question Number 135303 by bobhans last updated on 12/Mar/21
  in how many ways can 10 people be seated in a round table if 3 persons want to seat consecutively?
$$ \\ $$in how many ways can 10 people be seated in a round table if 3 persons want to seat consecutively?
Answered by EDWIN88 last updated on 12/Mar/21
p(A)= ((3!×7!)/(9!))= (6/(9×8))=(1/(12))
$$\mathrm{p}\left(\mathrm{A}\right)=\:\frac{\mathrm{3}!×\mathrm{7}!}{\mathrm{9}!}=\:\frac{\mathrm{6}}{\mathrm{9}×\mathrm{8}}=\frac{\mathrm{1}}{\mathrm{12}} \\ $$
Answered by mr W last updated on 12/Mar/21
7!×3!
$$\mathrm{7}!×\mathrm{3}! \\ $$
Commented by mr W last updated on 12/Mar/21
Commented by liberty last updated on 12/Mar/21
yes....you are right
$${yes}….{you}\:{are}\:{right} \\ $$
Commented by mr W last updated on 12/Mar/21
an the table there are other people  besides A,B,C. so ABC≠BCA etc.
$${an}\:{the}\:{table}\:{there}\:{are}\:{other}\:{people} \\ $$$${besides}\:{A},{B},{C}.\:{so}\:{ABC}\neq{BCA}\:{etc}. \\ $$
Commented by mr W last updated on 12/Mar/21

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