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Find the last two digits of the number `(23)^(14)dot`

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If .^(n+1)C(r+1):^n Cr:^(n-1)C(r-1)=11 :6:3, then n r= 20 b. 30 c. 40...

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  2. If the last tem in the binomial expansion of (2^(1/3)-1/(sqrt(2)))^n i...

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  3. Find the last two digits of the number (23)^(14)dot

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  4. The value of x for which the sixth term in the expansion of [2^(log(...

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  5. If the 6th term in the expansion of (1/x^(8//3)+x^2log(10)x)^8 is 5600...

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  6. The total number of terms which are dependent on the value of x in the...

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  7. In the expansion of (3^(-x//4)+3^(5x//4))^(n) the sum of binomial coef...

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  8. If n is an integer between 0 and 21, then the minimum value of n!(21-n...

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  9. If R is remainder when 6^(83)+8^(83) is divided by 49, then find the v...

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  10. Let a and b be the coefficient of x^(3) in (1+x+2x^(2) + 3x^(3))^(4) a...

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  11. Let 1+ underset(r=1)overset(10)sum(3^(r)..^(10)C(r)+r..^(10)C(r)) = 2^...

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  12. Let a=3^(1//224)+1 and for all n ge 3, let f(n)=""^(n)C(0)a^(n-1)-""...

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  13. If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N...

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  14. The largest value of x for which the fourth tem in the expansion (5^(...

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  15. The number of values in set of values of r for which ""^23 Cr+2 ""^(2...

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  16. If the second term of the expansion [a^(1/13)+(a/sqrt(a^(-1))] is 14a^...

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  17. Given (1-2x+5x^2-10x^3)(1+x)^n=1+a1x+a2x^2+.... and that a1^2=2a2, the...

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  18. If A+B=90^oand tanA= 4/3 ​ ,find cosecB.

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  19. If X−k divides x^3−6x^2 +11x−6=0, then k can't be equal to, (a) 1. (b...

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  20. Prove that sum(r=1)^(k) (-3)^(r-1) (3n)^C(2r-1) = 0 , where k = 3n//2...

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