1. How many 3-letter arrangements are there of the letters of the word CANADA?

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- Feb 6th 2009, 12:38 PMwilliampermutation 3
1. How many 3-letter arrangements are there of the letters of the word CANADA?

- Feb 6th 2009, 12:49 PMPlato
- Feb 6th 2009, 01:03 PMwilliam
- Feb 6th 2009, 01:06 PMPlato
**NO!**

You did not answer the question. With the subscripts there are six different letters. Now answer. - Feb 6th 2009, 01:10 PMwilliam
- Feb 6th 2009, 01:12 PMPlato
- Feb 6th 2009, 01:16 PMwilliam
- Feb 6th 2009, 01:20 PMPlato
- Feb 6th 2009, 01:24 PMwilliam
- Feb 8th 2009, 08:53 AMwilliam
- Feb 10th 2009, 11:55 AMNisar_0926permutation
Most of the answers at the back of the textbook are wrong.

- Feb 10th 2009, 12:02 PMTheMasterMind
This is actually correct! and the answer in your book is correct!

Splitting it up into three different cases

for 1A is is 4!=24

2A's 3*3=9

(Ex.DAA)

3A's=1

(Ex. AAA)

Thus using the additive principle associated with permutations add all three cases together: $\displaystyle \boxed{24+9+1=34}

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