Question

Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.

Answer 1

Answer:

4 ways of choosing

Step-by-step explanation:

If you want to choose 3 objects, without replacement, from the 4 objects which are distinct, then permutation i.e then their arrangement doesn't really matter. Only their combination will be considered

That means, order of choosing doesn't matter,

pencil/ eraser/ desk will be same as  eraser/ desk/ pencil.

Number of ways of selecting 3 objects out of 4 distinct objects is:

⁴C₃ = $\frac{4 !}{3! \times (4-3)!}$

⁴C₃ = $\frac{4 \times 3 \times 2 \times 1}{3 \times 2 \times 1}$

⁴C₃ = 4

So, there are 4 ways of choosing