The coefficient of x70 in the product (x−1)(x2−2)(x3−3)(x4−4)…(x12−12) is
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Find the sum j=0∑n((4n+1)Cj+4n+1C2n−j)
represent the terms in the expansion of (x+a)n,
then find the value of (T0−T2+T4−)2+(T1−T3+T5−)2n∈N˙
Find the rthterm from the end in the expansion of (x+a)n.
Find the largest term in the expansion of (3+2x)50,wherex=1/5.
Find the coefficient of xn
in the expansion of (1−9x+20x2)−1˙
then prove that C1+2c2+3C1++nCn=n2n−1˙
Using binomial theorem, evaluate : (102)5
Find the coefficient of x20