SOLUTION: is there 362880 distinguishable of the letters in the word TEXTBOOKS? explain.

Question 379058: is there 362880 distinguishable of the letters in the word TEXTBOOKS? explain.
Found 2 solutions by richard1234, stanbon:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
If all of the letters in TEXTBOOKS were distinct, then there would be 9! = 362,880 ways to arrange the letters. However, there are two O's and two T's. To deal with this over-counting, we divide by 2 to account for the O's (since something like BOTXKOTSE is counted twice) and divide by 2 again for the T's. This leaves us 9!/4, or 90,720 distinguishable ways.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
are there 362880 distinguishable arrangements of the letters in the word TEXTBOOKS? explain.
-----
# of permutations = 9!/[2!*2!] = 362880/4 = 90720
---------------------
Ans. to the question is NO.
Why? Because the TT and the OO are indistinguishable letters so they
do not add to the numbers of distinct arrangements.
================
Cheers,
Stan

RELATED QUESTIONS
Jasmine says that there are 362,880 distinguishable permutations of the letters in the... (answered by Edwin McCravy)
Jasmine says that there are 362,880 distinguishable permutations of the letters in the... (answered by stanbon)
how many distinguishable permutations are there of the letters in the word EFFECTIVE?... (answered by vheroli)
what is the number of distinguishable permutations of the letters in the word... (answered by greenestamps)
How many distinguishable permutations of letters are possible in the word BASEBALL? The (answered by vleith,stanbon)
Find the number of distinguishable permutations of the letters in the word... (answered by ewatrrr)
Find the number of distinguishable permutations of the letters in the word MISSISSIPPI. (answered by math_helper)
Find the number distinguishable permutations of the letters in the word... (answered by ewatrrr)
Find the number of distinguishable permutations of the letters in he word dad & oregon (answered by ewatrrr)