Number of methods of distributing 5 oranges among 3 children is

M4maths Previous Puzzles

21 Apr 2010 Possible combination?

Number of methods of distributing 5 oranges among 3 children is

OPtion

1) 15
2) 21
3) 12
4) 24
5) 30
6) 36
7) 56
8) 42
9) 27
10) 20

Solution

Formula for solving problem = (n+r-1) (n+r-2)/(r-1) (r-2)
Here n= 5 & r =3
On applying values we get (5+3-1) (5+3-2) / (3-1) (3-2) = 7*6/2*1 = 21

Correct Option: 2 Best Solution (4)

Ankur Pandey   14 years AGO

7!/5!*2!

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Karthik Pandiyan   14 years AGO

there are 21 ways to distribute 5 orange among 3 children

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sanjib biswas   14 years AGO

if 1st child get 0 orange then 2nd can get it in 6 way and for each possibility 3rd will get in 1 way again if 1st child get 1 orange 2nd will get it in 5way and for each possibility 3rd will get in 1 way similarly for if 1st will get 2,3,4,5 respectively then 2nd will get it in 4,3,2,1 way and for each possibility 3rd will get 1 way .Then total no of methods is 6+5+4+3+2+1=21

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susmit   14 years AGO

combinations with no. of oramges
3 5 0 0
6 4 1 0
6 3 2 0
3 3 1 1
3 2 2 1

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