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Tina Barnes Posted on Dec 10, 2013
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How many different arrangements can be made out of Hollow in a Permutation formula show how to solve

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k24674

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  • Office Equip... Master 8,093 Answers
  • Posted on Dec 10, 2013
k24674
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Number of permutations of n distinct objects taken n at a time (arrangements) is given by
P=n! In this case 7!
However the 2 O are not distinguishable one from the other. The number above must be divided by 2!
Similarly the two L are not distinguishable one from the other. The result above must be divided by 2!
Finally, the total number of permutations of the letters in HOLLOW is
7!/(2!*2!)=1260

How do I answer this - 40f8a486-8369-4095-9deb-1084fdf2cbbe.png

  • k24674 Dec 10, 2013

    Sorry I miscounted the number of letter in the word HOLLOW. Replace 7 by 6. The number is 180 rather than 1260.

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