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Write last two digits of the number 3^(4...

Write last two digits of the number `3^(400)dot`

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Statement 1: Total number of five-digit numbers having all different digit sand divisible by 4 can be formed using the digits {1,3,2,6,8,9}i s192. Statement 2: A number is divisible by 4, if the last two digits of the number are divisible by 4.

RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the 111th term in the expansion of (1+3x)^111.

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  2. Find the number of terms in the expansion of (a+b)^8dot

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  3. Write last two digits of the number 3^(400)dot

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  4. Find the total number of terms in the expansion of (x^(3/2)+x^(1/2))^(...

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  5. If n is a positive integer, find the coefficient of x^(-1) in the expa...

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  6. Find the sixth term in the expansion (y^(1/2)+x^(1/3))^n , if the bino...

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  7. Which term in the expansion of {(x/sqrty)^ (1/3)+(y/(x)^(1/3))^(1/2)}...

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  8. Find the number of terms in the expansions of the following: (2x-3y)^9

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  9. Find the number of terms in the expansions of the following: (1+5sqrt(...

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  10. Find the number of terms in the expansions of the following: (sqrt(x)+...

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  11. Find the number of terms in the expansions of the following: [(3x+y)^8...

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  12. Find the number of terms in the expansions of the following: \ (2x+3y-...

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  13. Find the number of terms in the expansions of the following:\ (1+2x+x^...

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  14. Expand (2x-3y)^4 by binomial theorem.

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  15. Using binomial theorem expand (1+x/2-2/x)^4,\ x!=0.

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  16. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

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  17. Using binomial theorem, expand (x+1/y)^(11)dot

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  18. Find an approximation of (0. 99)^5 using the first three terms of its ...

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  19. Using binomial theorem compute : (99)^5

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  20. Using binomial theorem compute : (102)^6

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