SOLUTION: WHat is the value you of nCr when n= r+1?
Algebra
->
Permutations
-> SOLUTION: WHat is the value you of nCr when n= r+1?
Log On
Algebra: Combinatorics and Permutations
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Permutations
Question 875715
:
WHat is the value you of nCr when n= r+1?
Answer by
jim_thompson5910(35256)
(
Show Source
):
You can
put this solution on YOUR website!
n C r = (n!)/(r!(n-r)!)
n C r = ((r+1)!)/(r!(r+1-r)!)
n C r = ((r+1)!)/(r!(1)!)
n C r = ((r+1)!)/(r!*1)
n C r = ((r+1)!)/(r!)
n C r = ((r+1)*r!)/(r!)
n C r = r+1
So, n C r = r+1 when n = r+1