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

2 years ago

Arun
25768 Points

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
2 years ago
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• Test paper with Video Solution
• Mind Map
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