The correct answer would be, 30.
Before the election, you want to determine the number of possible president/vice president combinations for the honor society you belong to. If both positions are chosen from six people, 30 combinations are possible.
Explanation:
When there are six people and a combination of president and vice president is to be chosen from them, then there would be one person who will be selected as a president. After whom, 5 people will be left, and vice president will be chosen from them.
So the possible combination would be as follow:
6 people (for president) * 5 people (for vice president)
= 30 possible combinations of 6*5 people.
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Based on the information given, the number of combinations will be 30.
It should be noted that when there are six people and a combination of the president and vice president is to be chosen from them, then there would be one person who will be selected as a president.
In such a case, 5 people will be left, and vice president will be chosen from them. Therefore, the combination will be:
= 6 × 5 = 30
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