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If 1+ (2 + 49C1 + 49C2 + ….. + 49C49) (50C2 + 50C4 + ….. + 50C50) is equal to 2n .m, where m is odd, then n + m is equal to _____

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Correct answer is 99

1 + (1 + 249)(249 -1) = 298

m = 1 , n = 98

m + n = 99

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