if a= n c 2 then prove that a c 2 = 3 × n+1 c 4

Question

if a= n c 2 then prove that a c 2 = 3 × n+1 c 4

Ravi · Answer

With the value of a in terms of n, substitute the LHS of^ac₂= 3×ⁿ⁺¹c4

Get the eqn in terms of just n as variable. Multiply and divide by 3 to obtain the factorial in the denominator as well as a 3 in the numerator as a multiplicand. Factorise the degree 4 eqn with
(n+1) as the known factor(...From ⁿ⁺¹c₄)

Get the value by obtaining the factors. and putting it in factorial form

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if a= n c 2 then prove that a c 2 = 3 × n+1 c 4

if a= ⁿc₂ then prove that
^ac₂ = 3 × ⁿ⁺¹c₄

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if a= n c 2 then prove that a c 2 = 3 × n+1 c 4

if a= nc2 then prove that ac2 = 3 × n+1c4

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if a= ⁿc₂ then prove that
^ac₂ = 3 × ⁿ⁺¹c₄