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Let Sp and Sq be the coefficients of x^p...

Let `S_p` and `S_q` be the coefficients of `x^p` and `x^q` respectively in `(1 + x)^(p+q)`, then :

A

`S_p ne S_q`

B

`S_p =p/q S_q`

C

`S_p= q/p S_q`.

D

`S_p = S_q` .

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
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  5. If x=1/3, then the greatest term in the expansion of (1+4x)^8 is the :

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  6. The middle term in the expansion of (1 + x)^(2n) is :

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  7. The term independent of x in (2x-1/(3x))^6 is :

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  8. The coefficient of the term independent of x in (2x-3/x)^6 is :

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  10. In a binomial expansion (1 + x)^n is a positive integer, the coefficie...

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

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  12. Let (1 + x)^n= C0+C1x+C2x^2+.....+Cn x^n and C1/C0+2 C2/C1+3 C3/C2+......

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  13. In the expansion of (x +a)^n, the sums of the odd and the even terms a...

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  14. The 5th term from the end in the expansion of (x^3/2-2/x)^12 is :

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  15. In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...

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  16. The value of C (47, 4) + underset (r=1) overset (5) sum (52-r,3) is:

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  17. 7^9+9^7 is divisible by :

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  18. Find the term independent of x in the expansion of : ((x+1)/(x^(2//3)-...

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  19. Product of any r consecutive natural numbers is always divisible by :

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