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AP EAMCET20226 Jul 2022Morning ShiftMathematicsPermutation and CombinationActual

The number of ways of distributing 500 dissimilar boxes equally among ' 50 ' persons is

Options

  1. A500 ! /(10 !)⁵⁰ 50 !
  2. B500 ! /(50 !)¹⁰ .10 !
  3. C500 ! /(50 !)¹⁰
  4. D500 ! /(10 !)⁵⁰

Correct answer

D. 500 ! /(10 !)⁵⁰

Step-by-step solution

We know that number of ways in which m n distinct things can be distributed among n persons. = ( mn ) ! ( m !)^ n Number of ways of distributing 500 i.e. 50 10 dissimilar bones equally among 50 persons. = 500 ! (10 !) 50

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