JAMIA 2026 — Mathematics PYQ

Method 2: Using the Permutation Formula

We need to choose and arrange 3 distinct digits out of 5 given distinct digits. This can be directly calculated using the permutation formula ${}^n{P}_r$:

$$\text{Total Numbers}={}^5{P}_3$$

The formula for permutation is:

$${}^n{P}_r=\frac{n!}{(n-r)!}$$

Substituting $n=5$ and $r=3$:

$$\text{Total Numbers}=\frac{5!}{(5-3)!}$$

$$\text{Total Numbers}=\frac{5!}{2!}$$

$$\text{Total Numbers}=\frac{5\times 4\times 3\times 2\times 1}{2\times 1}$$

$$\text{Total Numbers}=5\times 4\times 3=60$$

Correct Answer

The correct option is (a) 60.