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Find the value of ^6C0 ^12C6 - ^6C1 ^11C...

Find the value of `^6C_0 ^12C_6 - ^6C_1 ^11C_6 + ^6C_2 ^10C_6 - ^6C_3 ^9C_6 +^6C_4 ^8C_6 - ^6C_5 ^7C_6 +^6C_6 ^6C_6`

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