SOLUTION: I do understand the relationship between nPr and nCr {( nPr = r!(nCr) } and all. But I am missing something with the following that obviously should be apparent!
How does (nP5)
Question 1164375: I do understand the relationship between nPr and nCr {( nPr = r!(nCr) } and all. But I am missing something with the following that obviously should be apparent!
How does (nP5) translate into nP4 X (n-4) in the following expression given in the book:
30(nP5/5!) = [30 X nP4 X (n-4)] / 5!
Can somebody show me the intermediate steps...just with the translation of nP5 to as nP4 X (n-4)
Also I am new to this site. How do I insert subscripts in the equations while posting the questions?
Thank you Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
Must be a misprint. They aren't equal:
By definition:
So nP5 just has one more factor, (n-5), than nP4 has,
So nP5 = (n+5)nP4.
The misprint in your book was that the (n-4) on the right should have been (n-5).
Books have typos sometimes.
Edwin