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If n is a positive integer, then show that `6^(n)-5n-1` is divisible by 25

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RESONANCE ENGLISH-COMBINATORICS-Self practice problems
  1. Expand the binomial ((x^(2))/(3) + (3)/(x))^(5)

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  2. Find term which is independent of x in (x^(2)-(1)/(x^(6)))^(16)

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  3. If n is a positive integer, then show that 6^(n)-5n-1 is divisible by ...

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  4. What is the remainder when 3^(257) is divided by 80

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  6. Which number is larger (1.3)^(2000) or 600

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  7. Find the possible set of values of x for which expansion of (3-2x)^(1/...

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  8. How many 4 digit numbers are there, without repetition of digits, If e...

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  9. Using 6 different flags, how many different signals can be made by usi...

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  10. Find the sum of all four digit numbers (without repetition of digits) ...

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  12. How many three digit numbers can be formed by using the digits, 0,1,2,...

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  15. In how many ways 4 persons can occupy 10 chairs in a row, if no two si...

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  16. In how many ways we can select 3 letters of the word PROPORTION?

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