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By the principal of mathematic induction...

By the principal of mathematic induction, prove that, for `nge1`
`1.2 + 2.3 + 3.4 +. . . +n.(n+1)=(n(n+1)(n+2))/3`

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PREMIERS PUBLISHERS-COMBINATORICS AND MATHEMATICAL INDUCTION-PROBLEMS FOR PRACTICE (Choose the correct option for the following)
  1. By the principal of mathematic induction, prove that, for nge1 1.2 + 2...

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  2. 0! Is :

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  3. If n different objects are to placed in m places then the number of wa...

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  4. There are 5 bulbs in a room. Each one of them can be operated independ...

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  5. If 7!/n!=7 then the value of n is:

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  6. If n! + (n-1)! =144, then the value of n is :

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  7. Prove ""^(n)P(r)=""^(n-1)P(r) +r. ""^(n-1)P(r-1)

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  8. ""^(7)C(3) + ""^(7)C(2)=""^(x)C(y) then x and y are:

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  9. If 5 parallel lines intersect another set of 4 , parallel lines (not p...

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  10. 1^(2) + 2^(2) + 3^(2) + …+ 10^(2) is :

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  11. If ""^(x^(2)-x)C(7)=""^(x^(2)-x)C(5) then x is :

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  12. A photographer wants to take a photo of 3 students out of 6 students ...

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  13. In 3 fingers, the number of ways five rings can be worn in...............

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  14. There are 8 points in a plane, no three of them are collinear .The num...

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  15. 10 students compete in a race. In how many ways first two prizes be g...

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  16. How many lines can be drawn given six points of which 3 are collinear?

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  17. Find the odd one out:

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  18. Among the following, find which one cannot be no. of digonals of a pol...

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  19. Find the correct statement:

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  20. Find the correct statement:

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  21. Find the incorrect statement:

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