'How many words...' Combinations (1 Viewer)

[K4M1N3]

[ex 8.9 Terry Lee] How many words are possible using four letters which are selected from the letters of the word "SYLLABUS"?

OK so this isn't so hard a question, but instead of looking in the book and following a similar procedure, does anyone know a simplified method to answer this question?

 

[K4M1N3]

Come on....i know someone can help.....please ^_^

 

[largarithmic]

[ex 8.9 Terry Lee] How many words are possible using four letters which are selected from the letters of the word "SYLLABUS"?

OK so this isn't so hard a question, but instead of looking in the book and following a similar procedure, does anyone know a simplified method to answer this question?

I don't know of any, just do what the book says and you'll be fine I assume (I dont have that text book)

Do it like, case1: you use two L's and two S's
case2: you use two L's and at most one S (here, S is just like any other letter(
case3: you use two S's and at most one L
case4: at most on L and at most one S

and it should be pretty standard right?

 

[K4M1N3]

Yeah that's how the book does it, i know its fairly straight forward but im a lazy mathematician. Just wondered if there was a more simply approach...