PLEASE HELP!!
in how many orders can 7 chapters be arranged in the index of a textbook if the chapter on probability is to be listed in the middle of the series of chapters????
a. 720
b. 5040
c. 46,656
d. 823,543

Question

anonymous · Answer

since you have determined one of the positions, this is the same as asking how many ways can you arrange 6 chapters

anonymous · Answer

is there some kind of formula??

anonymous · Answer

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do you know how to do those

anonymous · Answer

NO! not at all! can you show me?

anonymous · Answer

$$6! $$ is the succinct way to write it, but it is the counting principle that gets you the result
6 choices for first slot
5 for second 
4 for third 
3 for fourth 
2 for fifth 
1 for  sixth
counting principle says multiply these together, get 
$$6\times 5\times 4\times 3\times 2\times 1$$

anonymous · Answer

720

anonymous · Answer

thank you so much!!