Maths-
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Easy

Question

If the sum of the ordinate and the abscissa of a point P left parenthesis x comma y right parenthesisis 2 n (where x comma yare natural numbers) then the probability that does not line on the line is

  1. fraction numerator n minus 1 over denominator n plus 3 end fraction    
  2. fraction numerator 2 n to the power of C subscript n end subscript end exponent over denominator 2 to the power of 2 n end exponent end fraction    
  3. fraction numerator 2 n minus 2 over denominator 2 n minus 1 end fraction    
  4. fraction numerator 2 n plus 1 over denominator 2 n plus 3 end fraction    

The correct answer is: fraction numerator 2 n minus 2 over denominator 2 n minus 1 end fraction


    P left parenthesis E right parenthesis equals fraction numerator blank to the power of 2 n end exponent C subscript 2 end subscript minus n over denominator blank to the power of 2 n end exponent C subscript 2 end subscript end fraction

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    Karl Ziegler reported that alkenes react with N-bromosuccinimide (NBS) in presence of light to give products resulting from substitution of hydrogen by bromjne at the allylic position, i.e., the position next to the double bond. Let us consider the halogenation of cyclohexene.

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