Answer:
20 days?
Step-by-step explanation:
3 times a day is 15 and 300 ÷ 15 = 20
Let
, so that
,
, and
. Then
Now let
, so that
. Then
Transform back to
to get
and again to get back a result in terms of
.
If you can provide me with the table, where it gives you all your information for this question, I can edit this and show you how to do it. (with answer). It's hard to answer something where you don't know what you need to answer.
Your answer is gonna be 56
some explanation stuff if needed :
8 questions, and your teacher will choose 5. The order doesn’t matter just whether or not they’re on the test!
Thats a combination (permutation is where the order matters).
nCr= (n!)/(n-r)!·r!
n is the number of options
r is the number you choose
! is “factorial” (multiplying every whole number down the 1; ex: 4! = 4·3·2·1 = 24)
so lets substitute:
n= 8 questions from which to choose
r= 5 the number the teacher will choose
8C5= (8!)/(8-5)!·5!
= (8!)/(3)!·5!
= (8·7·6·5·4·3·2·1)/(3·2·1)·(5·4·3·2·1)
= 40,320/(6)·(120)
= 40,320/720
= 56
There are 56 possible combinations of 5 questions your history teacher could choose.
hope i helped :)
~ mo