SOLUTION: find the number of arrangement of the letters of the word CERTIFICATE which begins with c

Algebra.Com
Question 912309: find the number of arrangement of the letters of the word CERTIFICATE which begins with c
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
"CERTIFICATE" has 11 letters.  Since a C must be first, the problem 
becomes finding the number of distinguishable ways we can follow the
C with the 10 other letters.  That is the same as the problem:

Find the number of distinguishable arrangements of "ERTIFICATE"

"ERTIFICATE" has 10 letters, including 2 indistinguishable E's, 2
indistinguishabe T's and 2 indistinguishable I's.  We divide 10! by
the factorials of all these.

Answer:  = 453600

Edwin

RELATED QUESTIONS

(a) In how many different ways can the letters in the word ARRANGEMENTS be arranged?... (answered by math_helper,ikleyn)
find the number of ways in which an arrangement of of 4 letters can be made from the word (answered by jrfrunner)
Find the number of possible arrangement of the letters in the word PERSONAL if E should... (answered by ikleyn)
How many permutations can be made out of the word TRIANGLE so that arrangement begins... (answered by sky1983)
(a) in how many ways can the letters of the word be arranged in a line? (b) In how many... (answered by greenestamps,math_tutor2020)
The letters of the word "OKOTOKS" are arranged. The number of arrangements that begins... (answered by Theo)
All letters of the word "EAMCET"are arranged in all possible ways.The number of such... (answered by Edwin McCravy)
How many arrangement are there of the letters in the word ANAGRAM if the arrangements... (answered by Edwin McCravy)
How many arrangements of the letters in the word olive can you make if each arrangement... (answered by rapaljer)