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.

Question

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.

Arun · Answer

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

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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.

The sum ∑_r=0^m ¹⁰C_r* ²⁰C_m-ris maximum when m=
1)5
2)10
3)15
4)20
Show the steps..How to expand ∑_r=0^m ¹⁰C_r* ²⁰C_m-r. Please show the expansion.

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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.

The sum ∑r=0m 10Cr * 20Cm-r is maximum when m=1)52)103)154)20Show the steps..How to expand ∑r=0m 10Cr * 20Cm-r . Please show the expansion.

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The sum ∑_r=0^m ¹⁰C_r* ²⁰C_m-ris maximum when m=
1)5
2)10
3)15
4)20
Show the steps..How to expand ∑_r=0^m ¹⁰C_r* ²⁰C_m-r. Please show the expansion.