Find the value of r for which 10Cr is maximum
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Answer:
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Given : ¹⁰Cr is maximum
To Find : Value of r
Solution:
²ⁿCₓ has maximum value when
x = n
¹⁰Cr
10 = 2 * 5
hence r must be 5 to get maximum value
¹⁰C₅ is maximum
hence r = 5
¹⁰C₀ = 1 , ¹⁰C₁₀ = 1
¹⁰C₁ = 10 , ¹⁰C₉ = 10
¹⁰C₂ = 45 , ¹⁰C₈ = 45
¹⁰C₃ = 120 , ¹⁰C₇ = 120
¹⁰C₄ = 210 , ¹⁰C₆= 210
¹⁰C₅ = 252
Hence for r = 5 , value is maximum
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