Question

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

Answer 1

1. 24

2. 4

Explanation:

Answer 2

4 ways of choosing

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 =
`(4 !)/(3! * (4-3)!)`

⁴C₃ =
`(4 * 3 * 2 * 1)/(3 * 2 * 1)`

⁴C₃ = 4

So, there are 4 ways of choosing