If \( \left|\begin{array}{ccc}1 & 1 & 1 \\ { }^{m} C_{1} & { }^{m+3...

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If \( \left|\begin{array}{ccc}1 & 1 & 1 \\ { }^{m} C_{1} & { }^{m+3} C_{1} & { }^{m+6} C_{1} \\ { }^{m} C_{2} & { }^{m+3} C_{2} & { }^{m+6} C_{2}\end{array}\right|=2^{\alpha} 3^{\beta} 5^{\gamma} \),
then \( \alpha+\beta+\gamma \) is equal
(a) 3
(b) \( 5 \mathrm{~m} \)
(c) 7
(d) \( m^{2} \)
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