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(10!)/((11-r)!) ((13-r)!)/(11!)=30/11=>(...

`(10!)/((11-r)!) ((13-r)!)/(11!)=30/11=>((13-r)!)/((11-r)!)=30 =>(13-r) (12-r)=30`

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(10!)/((11-r)!)((13-r)!)/(11!)=(30)/(11)rArr((13-r)!)/((11-r)!)=30rArr(13-r)(12-r)=30

Let N=|(10!,11!,12!),(11!,12!,13!),(12!,13!,14!)| Then N/((10!)(11!)(12!))= ______

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If P(11,r)=P(12,r-1) find n

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If |{:(.^(9)C_(4),.^(9)C_(5),.^(10)C_(r)),(.^(10)C_(6 ),.^(10)C_(7),.^(11)C_(r+2)),(.^(11)C_(8),.^(11)C_(9),.^(12)C_(r+4)):}|=0 , then the value of r is equal to

If |{:(.^(9)C_(4),.^(9)C_(5),.^(10)C_(r)),(.^(10)C_(6 ),.^(10)C_(7),.^(11)C_(r+2)),(.^(11)C_(8),.^(11)C_(9),.^(12)C_(r+4)):}|=0 , then the value of r is equal to

If |{:(.^(9)C_(4),.^(9)C_(5),.^(10)C_(r)),(.^(10)C_(6 ),.^(10)C_(7),.^(11)C_(r+2)),(.^(11)C_(8),.^(11)C_(9),.^(12)C_(r+4)):}|=0 , then the value of r is equal to