couple problem
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AntiviruShahriar
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৩টা কাপল ৬ জনের ১টা গোল টেবিলে বসবে। কতভাবে তারা বসতে পারে যেন প্রত্যেক স্বামী তার স্ত্রীর পাসে না বসে। [:D:D:D ha ha ha]
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nafistiham
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- Joined:Mon Oct 17, 2011 3:56 pm
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Re: couple problem
let us count the possibilities which do not satisfy the condition.
the total possibilities are $(6-1)!$
first let us fix the husbands.they can sit on $3$ chairs keeping a blank between every two of them.there can be only $2$ possibilities.now let us flip yje husbands with the wives and we get $2 \cdot 2$ which means the answers is
\[(6-1)!-4\]
the total possibilities are $(6-1)!$
first let us fix the husbands.they can sit on $3$ chairs keeping a blank between every two of them.there can be only $2$ possibilities.now let us flip yje husbands with the wives and we get $2 \cdot 2$ which means the answers is
\[(6-1)!-4\]
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.