Mrs. Pearson's class needs to pick a President, Vice President, and Treasurer. If there are 32 students in the class, how many different ways could the roles be assigned?

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1. There are 32 students and 3 different positions, so we need to choose a President, a Vice President, and a Treasurer. The order in which we select these positions matters.

2. The number of ways to assign the first position (President) is $$ 32 $$.

3. After assigning the President, there are $$ 31 $$ students left for the Vice President position.

4. Finally, after assigning the first two positions, there are $$ 30 $$ students remaining for the Treasurer position.

5. Therefore, the total number of ways to assign the roles is given by:
   $$
   32 \times 31 \times 30
   $$

6. Calculating the product step-by-step:
   $$
   32 \times 31 = 992
   $$
   $$
   992 \times 30 = 29760
   $$

7. Hence, there are $$\boxed{29760}$$ different ways to assign the roles.
There are 29,760 different ways to assign the roles of President, Vice President, and Treasurer to the 32 students in Mrs. Pearson's class.

Mrs. Pearson’s class needs to pick a President, Vice President, and Treasurer. If there are
32 students in the class, how many different ways could the roles be assigned?

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Mrs. Pearson’s class needs to pick a President, Vice President, and Treasurer. If there are 32 students in the class, how many different ways could the roles be assigned?