If the value of .^(55)C(5)-^(5)C(1).^(44...

If the value of `.^(55)C_(5)-^(5)C_(1).^(44)C_(5)+^(5)C_(2).^(33)C_(5)-^(5)C_(3) =(a^(b))` where `a` and `b` both are prime numbers then the value of `(a-b)` is equal to.

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""^(15)C_(0)*""^(5)C_(5)+""^(15)C_(1)*""^(5)C_(4)+""^(15)C_(2)*""^(5)C_(3)+""^(15)C_(3)*""^(5)C_(2)+""^(15)C_(4)*""^(5)C_(1) is equal to :