\( P=2(4)(6) \ldots(20) \) and \( Q=1(3)(5) \ldots(19) \). What is the HCF of \( P \) and \( Q \...

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\( P=2(4)(6) \ldots(20) \) and \( Q=1(3)(5) \ldots(19) \). What is the HCF of \( P \) and \( Q \) ?
(a) \( 3^{3} \cdot 5 \cdot 7 \)
(b) \( 3^{4} \cdot 5 \)
(c) \( 3^{4} \cdot 5^{2} \cdot 7 \)
(d) \( 3^{3} \cdot 5^{2} \)
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