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The coefficient of x^2y^3 in the expansi...

The coefficient of `x^2y^3` in the expansion of `(1-x+y)^(20)` is (a)`(20 !)/(213 !)` b. `-(20 !)/(213 !)` c. `(20 !)/(5!2!3!)` d. none of these

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The coefficient of x^(10) in the expansion of (1+x^(2)-x^(3))^(8) is

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  2. If the term independent of x in the (sqrt(x)-k/(x^2))^(10) is 405, the...

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  3. The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (a)(20 !...

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  4. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

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  5. The coefficient of a^8b^4c^9d^9 in (a b c+a b d+a c d +b c d)^(10) is

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  6. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

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  7. If (1+x)^5=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5, then the value of (a0-a2+a4...

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  8. The coefficient of x^n in the expansion of (1+x)(1-x)^n is

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  9. The coefficient of x^(28) in the expansion of (1+x^(2)-x^(6))^(30) is

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  10. The coefficient of x^(n) in (1+x)^(101) (1-x+x^(2))^(100) is nonzero, ...

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  11. prove that sum(r=0)^n(-1)^r^n Cr. [1/(2^r)+(3^r)/(2^(2r))+(7^r)/(2^(...

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  12. In the expansion of (7^(1//3)+11^(1//9))^(6561) ,

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  13. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z^2+C2z^4+...+C(16)z^(...

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  14. The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

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  15. if the 4^(th) term in the expansion of (ax+1)^(n) is 5//2, then

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  16. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

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  17. If (4+sqrt(15))^n=I+f,where n is an odd natural number, I is an intege...

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  18. In the expansion of (x+a)^n if the sum of odd terms is P and the sum o...

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

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  20. The value/value of x in the expression (x+x^(log(10)x))^(5)if the thir...

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