CUET · MATHS · PYQ PAPER 2023

Total number of one-one functions from the set \(A=\{1,2,3,4\}\) to the set \(B=\{a, b, c, d\), e \(\}\) are:

A 24
B 120
C 625
D 1024

Verified Solution

Answer & Solution

Correct Answer

(B) 120

Step-by-step Solution

Detailed explanation

Number of one-one functions \( = P(5, 4) = \frac{5!}{(5-4)!} \) \( = 5 \times 4 \times 3 \times 2 = 120 \)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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CUET 2023 Medium

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C. 2nd order	III. \(\operatorname{mol} L^{-1} s^{-1}\)
D. 3rd order	IV. \(\backslash\) mol \(^{-1} L s^{-1}\)

Choose the correct answer from the options given below:

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