Question

Suppose we want to choose two objects without replacement from pencil, eraser, desk, and chair. How many ways can this be done if the order of the choices is taken into consideration?

a. 6 ways
b. 12 ways
c. 24 ways
d. 48 ways

Answer 1

To find the number of ways to choose two objects without replacement from four items with order consideration, we multiply the choices for the first object (4) by the choices for the second (3) to get 12 ways.

Step-by-step explanation:

To determine the number of ways to choose two objects without replacement from a set of four items (pencil, eraser, desk, chair) with the order of choices considered, we can use the permutation formula. Since we are choosing two objects from four, and the order matters, we calculate this as 4 choices for the first object and 3 choices for the second object (since one object has been removed after the first choice). The calculation is therefore 4 × 3, which equals 12 ways.

This means the answer to the question is 12 ways, and the correct choice is (b) 12 ways.