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The reamainder left out when 8^(2n) - (6...

The reamainder left out when `8^(2n) - (62)^(2n+1)` is divided by 9 is

A

0

B

2

C

7

D

8

Text Solution

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The correct Answer is:
B
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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
  1. The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (20 !)/(...

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  2. The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. ...

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  3. The reamainder left out when 8^(2n) - (62)^(2n+1) is divided by 9 is

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  4. If ak is the coefficient of x^k in the expansion of (1+x+x^2)^n for k ...

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  5. The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b....

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  6. The coefficient of x^(n) in the polynomial (x+.^(n)C(0))(x+3.^(n)C(1))...

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  7. If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,then ar is a.(.^nC2)^2 b. .^n ...

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  8. The value of sum(r=0)^nsum(s=0)^nsum(t=0)^nsum(u=0)^n(1) is

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  9. If n is an even natural number , find the value of sum(r=0)^(n) ((...

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  10. sum(r=0)^n(-2)^r*(nCr)/((r+2)Cr) is equal to

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  11. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

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  12. The remainder, if 1+2+2^2++2^(1999) is divided by 5 is.

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  13. The value of ((""^(50)C(0))/(1)+(""^(50)C(2))/(3)+(""^(50)C(4))/(5)+…....

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  14. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  15. Let S1=sum(j=1)^(10)j(j-1)^(10)Cj ,""S2=sum(j=1)^(10)j""^(10)Ci "andS"...

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  16. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

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  17. Prove that ^100 C0^(100)C2+^(100)C2^(100)C4+^(100)C4^(100)C6++^(100)C(...

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  18. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

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  19. The digit at the unit place in the number 19^(2005)+11^(2005)-9^(2005)...

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  20. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

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