Daffodil International University

Educational => Mathematics => Problems and Solutions => Topic started by: Masuma Parvin on November 13, 2012, 07:11:29 PM

Title: Problem with restricted distribution
Post by: Masuma Parvin 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?

Title: Re: Problem with restricted distribution
Post by: msu_math 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.

Title: Re: Problem with restricted distribution
Post by: Masuma Parvin on November 15, 2012, 02:48:45 PM

Thanks Salahuddin Sir. Right answer.

Title: Re: Problem with restricted distribution
Post by: Masuma Parvin 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.

Title: Re: Problem with restricted distribution
Post by: msu_math 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)