Question

Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Combination problems involve situations in which the order of the items makes a difference.

Options:
Option 1: This statement is true.
Option 2: This statement is false. To make this statement true, change "makes a difference" to "does not make a difference".
Option 3: This statement is false. To make this statement true, change "combination" to "factorial".
Option 4: This statement is false. To make this statement true, change "combination" to "permutation" and change "makes a difference" to "does not make a difference".

Answer 1

The statement about combination problems is false because combinations involve scenarios where the order of items does not matter. The correct option to make the statement true is to state that the order does not make a difference.

Step-by-step explanation:

The statement that 'Combination problems involve situations in which the order of the items makes a difference' is false. To produce a true statement, it should be rephrased as follows: 'Combination problems involve situations in which the order of the items does not make a difference.'

In mathematics, a combination is a way of selecting items from a collection such that the order of selection does not matter. In contrast, a permutation is a way of selecting items where the order does matter. Therefore, Option 2 is the correct choice to make the given statement true: change "makes a difference" to "does not make a difference".