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how to find ncr mod m. A binomial coefficient Cn k can be defined as the coefficient of Xk in the expansion of 1 Xn. Sign Up it unlocks many cool features.
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The first line of the input contains an integer T denoting the number of test cases. Not a member of Pastebin yet. We can use distributive property of modulor operator to find nCr p using above formula.
If we take modulo m on both sides we get.
Following are common definition of Binomial Coefficients. Not a member of Pastebin yet. A p-2 a-1 mod p So we can find. Lucas theorem basically suggests that the value of nCr can be computed by multiplying results of niCri where ni and ri are individual same-positioned digits in base p representations of n and r respectively.
