Aspire Faculty ID #11623 · Topic: NIMCET 2024 · Just now
NIMCET 2024

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

Solution

Given: A one-one function from set $\{1,2,3\}$ to set $\{a,b,c,d,e\}$

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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ashna kumari
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