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In this question, a 'word' is defined to be any set of letters in a row, whether of not it makes sense. Find how many different 'words' can be made using only 5 letters of the word SYLLABUS
I tried to separate them into 4 cases,
1) all different letters
2) 2 'S'
3) 2 'L'
4)2 'S' and 2 'L'
Hello, Punch!
Quote:
In this question, a 'word' is defined to be any set of letters in a row,
whether of not it makes sense. . Find how many different 'words'
can be made using only 5 letters of the word SYLLABUS.
I tried to separate them into 4 cases,
1) all different letters
2) two S's
3) two L's
4) two S's and two L's
An excellent game plan! How far did you get?
We have 8 letters, 6 distinct: .
1) Five different letters
. . Choose 5 of the 6 letters and permutate them:.
2) Two S's: .
. . Choose 3 of the other 5 letters:.
. . and permute the 5 letters:.
3) Two L's:.
. . Choose 3 of the other 5 letters:.
. . and permutate the 5 letters:.
4) Two S's, two L's:.
. . Choose 1 of the other 4 letters:.
. . and permutate the 5 letters:.
There are:."words".