In how many ways can a voter rank five candidates without allowing ties?
Answered by Nitin Anad, Quora contributor, PhD in CSE from National Institute of Technology, Manipur (Expected 2025)
Not allowing ties simply implies that the ranks are distinct.
Hence 5 candidates can be ranked in 5! = 120 ways.
[5! is 5 factorial: 5 times 4 times 3 times 2 times 1]
If you allow a tie between any two candidates,
the number of ways to rank would've been
5!/2! = 120/2 = 60
Answered by Nitin Anad, Quora contributor, PhD in CSE from National Institute of Technology, Manipur (Expected 2025)
Not allowing ties simply implies that the ranks are distinct.
Hence 5 candidates can be ranked in 5! = 120 ways.
[5! is 5 factorial: 5 times 4 times 3 times 2 times 1]
If you allow a tie between any two candidates,
the number of ways to rank would've been
5!/2! = 120/2 = 60
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