The number of one - one functions f: 1,2,3 → a,b,c,d,e is

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Question Id : 11623 | Context :NIMCET 2024

The number of one - one functions f: {1,2,3} → {a,b,c,d,e} is

🎥 Video solution / Text Solution of this question is given below:

Step 1: One-one (injective) function means no two elements map to the same output.

We choose 3 different elements from 5 and assign them to 3 inputs in order.

So, total one-one functions = $P(5,3) = 5 \times 4 \times 3 = 60$

✅ Final Answer: $\boxed{60}$

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Narendra Kumar , jee aspirant
Commented Sep 22 , 2024

1=5 2=4 3=3 then,5.4.3=60

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