Mathematics
15 Online
OpenStudy (anonymous):
Answers:
1
2! / 4!
70
700
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
use the property that
\(\Large n! = n(n-1)!\)
hartnn (hartnn):
so,
\(\Large 8! = 8\times 7!\)
hartnn (hartnn):
\(\Large 7! = 7\times 6! \\ \implies \Large 8! = 8\times 7\times 6!\)
hartnn (hartnn):
continuing this way, we get,
\(\Large 8! = 8\times 7\times 6\times 5\times 4!\)
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
this 4! in the numerator gets cancelled with one of the 4!s in the denominator
hartnn (hartnn):
\(=\large \dfrac{8\times 7\times 6\times 5}{4!}\)
hartnn (hartnn):
now you must already be knowing
\(\large 4! = 4\times 3 \times 2\times 1\)
plug that in and simplify :)
OpenStudy (anonymous):
is the answer 70?
hartnn (hartnn):
did you calculate it ?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
yes
hartnn (hartnn):
\(\Huge \checkmark \)
hartnn (hartnn):
same method,
did you try?
OpenStudy (anonymous):
do i just use the same method?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
\(\Large 17! = 17\times 16\times 15\times 14\times 13!\)
hartnn (hartnn):
\(\large \dfrac{17\times 16\times 15\times 14}{4\times 3\times 2\times 1}\)
OpenStudy (anonymous):
the answer would be 2,380
hartnn (hartnn):
yes :)
OpenStudy (anonymous):
ty!
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
welcome ^_^