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Find the exponent of 80 in 200!....

Find the exponent of 80 in 200!.

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CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Prove that (n !)^2 < n^n n! < (2n)!, for all positive integers n.

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  2. Find the sum of the series sum(r=1)^n r/((r+1) !)dot

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  3. Find the exponent of 80 in 200!.

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  4. Prove that .^nPr = ^(n-1)Pr + r^(n-1)P(r-1)

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  5. How many ways are there to seat n married couples (ngeq3) around a tab...

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  6. A round-table conference is to be held among 20 delegates belonging fr...

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  7. How many numbers can be formed from the digits 1, 2, 3, 4 when repetit...

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  8. Find the three-digit odd numbers that can be formed by using the digit...

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  9. If ^ n P5=20 ^nP3 find the value of n

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  10. Find the total number of ways of selecting five letters from the word ...

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  11. Passengers are to travel by a double decked bus which can accommodate ...

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  12. Simplify the following and express it in the form (a+ib): (3+4i)(2-3i...

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  13. In a conference 10 speakers are present. If S1 wants to speak before S...

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  14. Five boys and five girls sit alternately around a round table. In how ...

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  15. A regular polygon of 10 sides is constructed. In how many way can 3...

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  16. If (n+3)! =56 x (n+1)!, Find the value of n.

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  17. If .^15 C(3r):^(15)C(r+1)=11 :3 , find the value of rdot

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  18. If the ratio .^2n C3:^n C3 is equal to 11:1 find ndot

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  19. There are n married couples at a party. Each person shakes hand with e...

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  20. Twenty-eight games were played in a football tournament with each team...

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