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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
- Coefficient of a^8b^6c^4 in (a+b+c)^18 is
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- The coefficient of x^9 in (x - 1)(x - 4) ( x- 9) ……. ( x -100) is
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- The term in (x + y)^50 which is greatest in absolute value if |x| = sq...
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- The greatest integer which divides the number 101^100 - 1 is
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- 9^7 + 7^9 is divisible by
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- Larger of 99^50+100^50 and 101^50
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- The remainder left out when 8^(2n) - 6(2)^( 2n+1) is divided by 9 is
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- Integral part of 7 + 4sqrt3)^n is (n in N)
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- Integral part of (7 + 5sqrt2)^(2n+1) is (n in N)
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- If (6 sqrt6+14)^(2n+1)=R and F=[R], where [R] denotes the greatest int...
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- The integral part of (sqrt2+1)^6 is
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- ""^(n) C(r+1)+2""^(n)C(r) +""^(n)C(r-1)=
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- If Ck is the coefficient of x^k in the expansion of (1 + x)^2005 and i...
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- The sum of the series ""^20C0 - ""^20C1 + ""^20C2 - ""^20C3 +…….""^20C...
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- If S(n) = underset (r=0) overset( n) sum (1) /(""^(n) C(r)) and T...
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- C0 - [C1 -2.C2+ 3.C3-……..+(-1)^(n-1).n.Cn] =
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- C0+4. C1 + 7. C2+…...(n+1) terms =
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- 2. C2 + 6. C3 + 12. C4 +….. + n (n-1) . Cn=
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- Sum of last 8 coefficients in (1 + x)^16 is
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- C0 + (C1)/(2) (4) + (C2)/(3) (16) + …………..+(Cn)/(n + 1) (2^(2n))
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