If n is a rational number, which is not a whole number, then the number of terms in the expansion of (1+x)^{n}, x < 1, is
If n is a +ve integer, then the binomial coefficients equidistant from the beginning and the end in the expansion of (x+a)^{n} are
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If the rth term in the expansion of contains x^{4}, then r =
If the coefficients of x^{−7} and x^{−8} in the expansion of are equal then n =
The largest term in the expansion of (1+x)^{19} when x = 1/2 is
If coefficients of three successive terms in the expansion of (x+1)^{n} are in the ratio 1 : 3 : 5, then n is equal to
The exponent of power of x occurring in the 7th term of expansion of
The number of dissimilar terms in the expansion of (a+b)^{n} is n + 1, therefore number of dissimilar terms in the expansion of (a+b+c)^{12} is
The term containing x^{3} in the expansion of (x−2y)^{7} is
The coefficients of x^{p} and x^{q} (p, q are + ve integers) in the binomial expansion of (1+x)^{p+q} are
If 2nd, 3rd and 4th terms in the expansion of (x+a)^{n} are 240, 720 and 1080 respectively, then the value of n is
If the first three terms in the expansion of (x+a)^{n} are 729, 7290 and 30375 respectively, then the value of n is
The coefficient of x^{n} in expansion of (1+x)(1−x)^{n} is
The two consecutive terms in the expansion of (3+2x)^{74}, which have equal coefficients, are
The coefficient of y in the expansion of (y² + c/y)5 is
The number o subsets of a set containing n distinct elements is
The number of terms in the expansion of [(x+4y)^{3}(x−4y)^{3}]^{2} is
Coefficient of x^{5} in the expansion of (1+x^{2})^{5}(1+x)^{4} is
If three successive terms in the expansion of (1+x)^{n }a have their coefficients in the ratio 6 : 33 : 110, then n is equal to
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289 videos635 docs179 tests
