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Combinatorics

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Moderate

Coefficient in $(5x-2y)^{7}(5x+2y)^{7}$

COMBIN-QZDN7G

What is the coefficient of $x^8y^{6}$ in the expansion of:

$$(5x-2y)^{7}(5x+2y)^{7}?$$

A

$25,000,000$

B

$875,000,000$

C

$14,000,000,000$

D

$56,000,000,000$

E

none of the above

F