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The number of integral terms in the expa...

The number of integral terms in the expansion of `(sqrt3 + root(8)(5))^256` is :

A

33

B

34

C

35

D

32

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. A student is to answer 10 out of 13 questions in an examination such t...

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  2. If ""^nCr denotes the number of combinations of n things taken r at a ...

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  3. The number of integral terms in the expansion of (sqrt3 + root(8)(5))^...

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  4. The coefficient of t^24 in (1+t^2)^2 (1+ t^12) (1+ t^24) is:

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  5. How many ways are there to arrange the letters in me word ‘GARDEN’ wit...

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  6. If ^n-1Cr=(k^2-3)^n C(r+1),then k in

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  7. The coefficient of the middle term in the binomial expansion in powers...

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  8. Thr ciefficient of x^(n-2) in the polynomial (x-1)(x-2)(x-3)"…."(x-n),...

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  9. If the letters of the word SACHIN are arranged in all possible ways ...

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  10. A rectangle with sides (2m-1) and (2n -1) is divided into squares of u...

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  11. The value of ""^50C4+ underset (r=1) overset (6) sum ""^(56-r)C3 is :

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  12. If the coefficient of x^(7) " in " (ax^(2) + (1)/(bx))^(11) is equal ...

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  13. The value of {:((30), (0))((30), (10))-((30), (1))((30),( 11)) +((30),...

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  14. At an election, a voter may vote for any number of candidates not grea...

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  15. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

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  16. The letters of the word COCHIN are permuted and all the permutations a...

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  17. The sum of series .^(20)C0-^(20)C1+^(20)C2-^(20)C3+....+^(20)C 10 is

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

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  19. How many different words can be formed by jumbling the letters of the ...

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  20. The number of 7-digit integers, with sum of the digits equal to 10 and...

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