Question icon
Algebra

The sum ∑r=0m 10Cr * 20Cm-r is maximum when m=
1)5
2)10
3)15
4)20
Show the steps..How to expand r=0m 10Cr * 20Cm-r . Please show the expansion.

Profile image of Meghendra Agrawal
7 Years agoGrade
Answers icon

1 Answer

Profile image of Arun
7 Years ago
Dear student
 
we get expansion as
 
10 C0 20Cm + 10C1  20Cm-1 + …...... + 10Cm 20C0
 
on combining
 
 = 30Cm
 
hence maximum at 30/2 = m
 
m = 15