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Question

A double decker bus can accommodate (u + ell) passengers, u in the upper deck and ell in the lower deck. The number of ways in which the (u + ell) passengers can be distributed in the two decks, if r (less or equal than ell) particular passengers refuse to go in the upper deck and S(less or equal thanu) refuse to sit in the lower deck, is -

  1. u–SCell–r    
  2. fraction numerator left parenthesis u plus l – r – S right parenthesis factorial over denominator left parenthesis l – r right parenthesis factorial left parenthesis u – S right parenthesis factorial end fraction    
  3. u–SPell–r    
  4. fraction numerator left parenthesis u plus l right parenthesis factorial over denominator r factorial S factorial end fraction    

The correct answer is: fraction numerator left parenthesis u plus l – r – S right parenthesis factorial over denominator left parenthesis l – r right parenthesis factorial left parenthesis u – S right parenthesis factorial end fraction

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