+279 I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?
+1277
I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?
7! 5040
7P7 = ––––––– = –––––– = 5040
(7 – 7)! 1
You might be alarmed by seeing zero in the denominator,
which is the most verboten condition known in math,
but zero factorial is defined as 1 so it's okay.
.
