Asked by avm
In how many ways can the letter of the word SECTION be arranged if the consonants must always be in the order in which they occur in the word itself?
Answers
Answered by
Reiny
without restrictions there would be 7! ways or 5040
The EIO can be arranged in 3! or 6 ways, but we want only one of these sequences.
so the number of arrangements is 5040/6 = 840
(somebody check my thinking on this)
The EIO can be arranged in 3! or 6 ways, but we want only one of these sequences.
so the number of arrangements is 5040/6 = 840
(somebody check my thinking on this)
Answered by
avm
thank you
Answered by
J
wrong its 210
Answered by
J
Don't know why, that's just what the back of the book says :s
Answered by
A.p
S E C T I O N
Total number of letters = 7!
# of consonants is 4! (S,c,t,n)
7!/4!= 210
Total number of letters = 7!
# of consonants is 4! (S,c,t,n)
7!/4!= 210