1. How many 3-letter arrangements are there of the letters of the word CANADA?
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1. How many 3-letter arrangements are there of the letters of the word CANADA?
If the word wereQuote:
Originally Posted by william
how many ways would there be?
If I use 1 A it will be 4!=24Quote:
Originally Posted by PlatoIf the word were
2A's it'll be 9
and 3A's it'll be 1
so which of these are correct?
NO!
You did not answer the question. With the subscripts there are six different letters. Now answer.
if we consider the numbers the A's as different letters it's 6!=720 there are 6 ways the A's can be arranged (3!) so 720/6=120?Quote:
Originally Posted by Plato
GREAT By George he got it.Quote:
Originally Posted by william
How many ways can you arrange "MISSISSIPPI"?
I'm guessing you take 11! ( number of letters in the word ) over 4!( 4s's) 4!(4i's) and 2!(2p's)Quote:
Originally Posted by Plato
sois what I'm trying to say, but I am having trouble computing this in my calculator
CORRECT!Quote:
Originally Posted by williamI'm guessing you take 11! ( number of letters in the word ) over 4!( 4s's) 4!(4i's) and 2!(2p's)
so
See how much one can learn if answers are not just passed out.
Absolutely, I prefer you giving me hints rather then giving me the answers, and I appreciate it. Thanks for your time!(Hi)Quote:
Originally Posted by Plato
I just checked the answer in the back of the book and it says 34?Quote:
Originally Posted by Plato
Most of the answers at the back of the textbook are wrong.
This is actually correct! and the answer in your book is correct!Quote:
Originally Posted by william
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: