If the coefficient of a 7 b 8 in the expansion of (a + 2b + 4ab) 10 is K.2 16 , then K is equal to _____________....

10! ! ! !a^ (2b)^ .(4ab)^ 10! ! ! !a^ + .\,b^ + \,.\,2^ \,.\,4^ + + = 10 ..... (1) + = 7 .... (2) + = 8 ..... (3) (2) + (3) - (1) = 5 = 2 = 3 so coefficients = 10! 2!3!5!2^3.2^10 = 10 9 8 7 6 5 2 3 2 5! 2^13 = 315 2^16 k ...

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If the coefficient of a7b8 in the expansion of a 2b 4ab10 is: null (Mathematics) | DivineJEE

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Mathematics

If the coefficient of a⁷b⁸ in the expansion of (a + 2b + 4ab)¹⁰ is K.2¹⁶, then K is equal to _____________.

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