The coefficient of \( x^{15} \) in the product \( (1-x)(1-2 x)\left(1-2^{2} x\right)\left(1-2^{3...
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The coefficient of \( x^{15} \) in the product \( (1-x)(1-2 x)\left(1-2^{2} x\right)\left(1-2^{3} x\right) \ldots\left(1-2^{15} x\right) \) is equal to
(A) \( 2^{105}-2^{121} \)
(B) \( 2^{121}-2^{105} \)
(C) \( 2^{120}-2^{104} \)
(D) none of these
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