Problem with restricted distribution

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Offline Masuma Parvin

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Problem with restricted distribution
« on: November 13, 2012, 07:11:29 PM »

In how many different ways can 12 identical apples be distributed among 3 children so that each child receives at least two but no more than 3 apples?

Offline msu_math

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Re: Problem with restricted distribution
« Reply #1 on: November 14, 2012, 10:12:28 AM »
No solution exists !!

Possible corrections: Either total no. of apples must be decreased or no. of children and/or maximum no. of apples must be increased.
Mohammad Salah Uddin

Lecturer in Mathematics
Department of Natural Sciences
FSIT, DIU

Offline Masuma Parvin

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Re: Problem with restricted distribution
« Reply #2 on: November 15, 2012, 02:48:45 PM »
Thanks Salahuddin Sir. Right answer.

Offline Masuma Parvin

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Re: Problem with restricted distribution
« Reply #3 on: November 18, 2012, 03:40:42 PM »
Try to determine the number of different ways 15 identical animals can be  given to 6 children so that each child receives at least 1 but no more than 3 animals.

Offline msu_math

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Re: Problem with restricted distribution
« Reply #4 on: November 18, 2012, 07:00:00 PM »
There are exactly 2 ways:  {3, 3, 3, 2, 2, 2}  and  {3, 3, 3, 3, 2, 1}    8)
« Last Edit: November 19, 2012, 11:55:04 AM by msu_math »
Mohammad Salah Uddin

Lecturer in Mathematics
Department of Natural Sciences
FSIT, DIU