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Permutation & Combination - Quant/Math - CAT 2013

  1. Algebra
  2. Progressions
  3. Averages
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  5. Data Sufficiency
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  7. Function
  8. Geometry
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  10. Interest
  11. Mensuration
  12. Mixtures & Alligations
  13. Number System
  14. Percentages
  15. Permutation & Combination
  16. Pipes & Cisterns And Work & Time
  17. Probability
  18. Profit & Loss
  19. Races
  20. Ratio, Proportion
  21. Speed, Time & Distance
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  24. General Knowledge
Question 4 the day: June 6, 2003

The question for the day is from the topic of Permutation & Combination.
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

(1) 5^10 (2) 10^5
(3) 10P5 (4) 10C5
Correct Answer - (1)

Solution:


Each of the 10 letters can be posted in any of the 5 boxes.

So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.

i.e. 5*5*5*….*5 (upto 10 times)

= 5 ^ 10.


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