Explanation of calculating the number of possible president/vice-president combinations from a group of nine people using the concept of combinations.
To determine the number of possible president/vice-president combinations for an honor society where both positions are chosen from nine people, you would use the concept of combinations. In this scenario, the formula for combinations would be applied, which is nCr = n! / r!(n-r)!. Substituting the values, 9C2 = 9! / 2!(9-2)!. Calculating this gives a total of 36 combinations possible.
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