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Statement 1: The number of distinct term...

Statement 1: The number of distinct terms in `(1+x+x^2+x^3+x^4)^(1000)i s4001.` Statement 2: The number of distinct terms in expansion `(a_1+a_2++a_m)^ni s^(n+m-1)C_(m-1)^dot`

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)br(x-3)^ra n dak=1 for all kgeq...

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  2. Statement 1: 3^(2n+2)-8n-9 is divisible by 64 ,AAn in Ndot Statement...

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  3. Statement 1: The number of distinct terms in (1+x+x^2+x^3+x^4)^(1000)i...

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  4. Statement1: if n in Na n dn is not a multiple of 3 and (1+x+x^2)^n=s...

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  5. Statement 1:Three consecutive binomial coefficients are always in A.P....

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  6. The value of ((30), (0))((30), (10))-((30), (1))((30),( 11)) +(30 2)(3...

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  7. If f(x)=x^n ,f(1)+(f^1(1))/1+(f^2(1))/(2!)+(f^n(1))/(n !),w h e r ef^r...

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  8. The fractional part of 2^(4n)/15 is (n in N) (A) 1/15 (B) 2/15 (C) 4/1...

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  9. The value of .^(15)C(0)^(2)-.^(15)C(1)^(2)+.^(15)C(2)^(2)-"...."-.^(15...

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  10. If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa...

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  11. If (1+x-2x^2)^6=1+a1x+a2x^(2)++a(12)x^(12), then find the value of a2+...

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  12. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is ...

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  13. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

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  14. The number of distinct terms in the expansion of (x+1/x+x^2+1/(x^2))^...

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  15. The sum of the coefficients of even power of x in the expansion of (1...

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  16. Column I, Column II The coefficient of the two consecutive terms...

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  17. If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coeffici...

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  18. If the coefficients of the (2r+4)t h ,(r-2)t h term in the expansion ...

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  19. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expan...

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  20. If the three consecutive coefficients in the expansion of (1+x)^n are...

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