How many different arrangements can be made with the letters from the word SCHOOL

Question

anonymous · Answer

this is a permutation since in this case, arrangement of the letters and their order matters. would you agree?

anonymous · Answer

however, since there is repetition of the letter "o" in the word "school" you must take into account that pattern

anonymous · Answer

there is a formula for this! it goes:

$$\frac{ n! }{ p! (q!)(r!) }$$

where n=number of objects (in this case the number of letters in the word school)
p, q, r, = number of repeating letters. q and r and unnecessary variables in this case and in others cases in which you may need them, more variables may be added. for now we will use 2=p because there are 2 "o"s in the word school

anonymous · Answer

you can now very simply put this into your calculator by using the ALPHA + Y= buttons and selecting 1. and then typing in your numbers. your factorial sign will come from ALPHA + WINDOW and selecting number 9