Question
Download Solution PDFThe number of one-to-one functions from {1, 2, 3} to {1, 2, 3, 4, 5} is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The function f(x) is said to be one to one function if
f(a) = f(b) ⇒ a = b, for every a, b
Calculations:
The function f(x) is said to be one to one function if
f(a) = f(b) ⇒ a = b, for every a, b
consider the co-domain {1, 2, 3}.
'1' can be related to any of the 5 numbers.
'2' can be associated with any of the other four numbers as '1' has already been associated to one of them.
leaving us with 4 options to associate 2.
finally '3' can be associated with the remaining 3 numbers.
Hence total number of ways of doing so =5 × 4 × 3
= 60
Hence, The number of one-to-one functions from {1, 2, 3} to {1, 2, 3, 4, 5} is 60
Last updated on Apr 16, 2025
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