Divide

How many different ways can three people divide 7 pears and 5 apples?

Correct result:

x =  756

Solution:

C2(9)=(92)=9!2!(9−2)!=9⋅82⋅1=36 n1=7 n2=5 k=3−1=2  C2(7)=(72)=7!2!(7−2)!=7⋅62⋅1=21  x1=(n1+kk)=(7+22)=36 x2=(n2+kk)=(5+22)=21  x=x1⋅ x2=36⋅ 21=756

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Showing 5 comments:
#
Math student
I think that you mixed up n and k. My understanding is that : n = 3, k1 = 7, k2 = 5

7 months ago  1 Like
#
Math student
shouldn't it be (7 2) and (9 2)?

6 months ago  1 Like
#
Leilani Sue
Why are (7 3) and (9 3) being multiplied?

#
Zs+ucitel
its 9 choose 3.... its combinations with repetions - and use formula

#
Zs+ucitel
Number of ways of dividing 'n' identical objects into 'r' groups such that each group can contain any number of objects is given by:

C( n+k-1,k-1)

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