problem based on binomial coefficient

Binomial expansion || Question based on binomial coefficient and terminologies || General term

Question base on binomial coefficient

Problems based on Binomial Theorem and standard limits

Properties OF binomial coefficient ,questions on properties OF binomial coefficient

Statement 1: Three consecutive binomial coefficients are always in A.P.Statement 2: Three consecutive binomial coefficients are not in H.P.or G.P.

Problems based on Estimation

Sum of binomial coefficients odd binomial coefficients even binomial coefficients

In the expansion of (x+y)^(n) ,if the binomial coefficient of the third term is greater by 9 then that of the second term,then the sum of the binomial coefficients of the terms occupying to odd places is

The exponent of a binomial exceeds that of another by 3. the sum of the binomial coefficients in expansions of both binomial taken together is 144. find the smaller of the two exponents.

In the expansion of (3^(-(x)/(4))+3^((5x)/(4)))^(n) the sum of the binomial coefficients is 256 and four xx the term with greatest binomial coefficient exceeds the square of the third coefficient then find 4x.