JEE Main Questions
Using binomial theorem, write down the expansions of the following: (2x−3y)4
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Find the remainder when 7103 is divided by 25.
The value of .15C02−.15C12+.15C22−....−.15C152 is
If r=0∑n.nC0n=r=0∑n2..nCrn2−3n+3, then
Find the greatest term in the expansion of 3(1+31)20˙
find the greatest tem in the expansion of (1+4x)8˙
Find the sum .nC1+2×.nC2+3×.nC3+……+n×.nCn.
If Cr=.nCr then prove that (C0+C1)(C1+C2)…..(Cn−1+Cn)=(C1C2….Cn−1Cn)(n+1)n/n!