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No. of distinct terms in (a+b+c+d)^n , n...

No. of distinct terms in `(a+b+c+d)^n , n in N` is

A

`""^((n+3))C_2`

B

`""^((n+3))C_3`

C

`""^((n+2))C_3`

D

`""^((n+4))C_3`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-BINOMIAL THEOREM-PRACTICE EXERCISE
  1. The no. of terms in (x + sqrt(x^2 - 1))^6 + (x -sqrt(x^2 - 1))^6

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  2. No. of distinct terms in (x + y - z)^16 is

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  3. No. of distinct terms in (a+b+c+d)^n , n in N is

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  4. If the coefficient of (2r + 4)^(th) term and (r - 2)^(th) term in the ...

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  5. The number of integral terms in the expansion of (sqrt2 + root(4)(3))^...

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  6. The term independent of x in the expansion of (x^2-(1)/(x))^6 is

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  7. If 5th term of the expansion (root(3)(x) - 1/x)^n is independent of x ...

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  8. Term independent of x in (1+4x)^p (1+(1)/(4x) )^q is :

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  9. Term independent of x in (x - 1/x)^4 (x + 1/x)^3 is

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  10. The sum of the binomial coefficients of the 3rd, 4th terms from the be...

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  11. If the sum of odd terms and the sum of even terms in the expansion of ...

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  12. If the sum of odd terms and the sum of even terms in (x + a)^n are p a...

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  13. If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) an...

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  14. The coefficient of x^(-17) in (x^4 - (1)/(x^3))^15 is

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  15. The coefficient of x in (x^2 + a/x)^5 is 270 then a =

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  16. If the 21st and 22nd terms in the expansion (1+x)^44 are equal then x ...

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  17. If the coefficients of 2nd, 3rd, 4th terms of (1+x)^n are in A.P. then...

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  18. If the coefficients of 2nd , 3rd and 4th terms of the expansion of (1+...

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  19. If the coefficients of 3rd, 4th , 5th terms in (1+x)^(2n) are A.P. the...

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  20. If the coefficients of r,(r +1 ),(r+2) terms in (1+x)^14 are in A.P. t...

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