In how many ways can 7 people line up for plane tickets?
4 answers
In how many ways can 7 people line up for play tickets
At the head of the line, there are 7 choices of people.
The next one has six, then five, then four....
Since these are independent choices, the total number of ways are multiplied together to give
7*6*5*...1
=7!
The next one has six, then five, then four....
Since these are independent choices, the total number of ways are multiplied together to give
7*6*5*...1
=7!
find F26 the 26th term
If you want, you can start from
F0=0
F1=1
and from F2 and up, use
Fn=Fn-2+Fn-1 to continue:
F2=0+1=1
F3=1+1=2
F4=2+1=3
F5=3+2=5
....
Until F26=? (it's over 120000)
However, some smart mathematician found this following formula:
&phi=(1+sqrt(5))/2
Fn=(φ^n-(1-φ)^n)/sqrt(5)
Try both!
F0=0
F1=1
and from F2 and up, use
Fn=Fn-2+Fn-1 to continue:
F2=0+1=1
F3=1+1=2
F4=2+1=3
F5=3+2=5
....
Until F26=? (it's over 120000)
However, some smart mathematician found this following formula:
&phi=(1+sqrt(5))/2
Fn=(φ^n-(1-φ)^n)/sqrt(5)
Try both!
2 answers