KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    A man wants to buy m mangoes in n different varieties, (where n > m) mangoes of the same variety being identical and they are available in abundance. Number of different ways he can plan his purchases, if he has to buy at least two mangoes of the same variety is:

    A) \[{}^{m\,-\,2n}{{C}_{n\,-1}}\]

    B) \[{}^{m\,+\,n\,-\,3}{{C}_{m\,-1}}\]

    C) \[\frac{1}{m!}\left[ {}^{m+n-1}{{P}_{m}}-{}^{n}{{P}_{m}} \right]\]

    D) \[\frac{1}{m!}\left[ {}^{m\,+\,n\,-\,1}{{P}_{n\,-1}}-{}^{n}{{P}_{m}} \right]\]

    Correct Answer: C

    Solution :

    Ways \[={}^{m\,+\,n\,-1}{{C}_{n\,-1}}-{}^{n}{{C}_{m}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner