If alpha = {^m}{C_2},then {^alpha}{C_2} is eq | vedclass

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(D) Given $\alpha = {^m}{C_2} = \frac{m(m-1)}{2}$.We need to find ${^\alpha}{C_2} = \frac{\alpha(\alpha-1)}{2}$.Substituting the value of $\alpha$:${^

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$3 \cdot {^{m+1}}{C_4}$

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(D) Given $\alpha = {^m}{C_2} = \frac{m(m-1)}{2}$.We need to find ${^\alpha}{C_2} = \frac{\alpha(\alpha-1)}{2}$.Substituting the value of $\alpha$:${^\alpha}{C_2} = \frac{\frac{m(m-1)}{2} \left( \frac{m(m-1)}{2} - 1 \right)}{2}$$= \frac{1}{4} \cdot \frac{m(m-1)}{2} \cdot (m^2 - m - 2)$$= \frac{1}{8} m(m-1)(m-2)(m+1)$$= \frac{3}{1} \cdot \frac{(m+1)m(m-1)(m-2)}{4 \cdot 3 \cdot 2 \cdot 1}$$= 3 \cdot {^{m+1}}{C_4}$.

If $\alpha = {^m}{C_2}$,then ${^\alpha}{C_2}$ is equal to

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