Answer:
there are 2,730 different ways to choose a president, vice president, and treasurer from the student club consisting of 10 computer science majors and 5 mathematics majors.
Explanation:
To choose three different members from the club to be president, vice president, and treasurer, you can follow these steps:
Step 1: Calculate the number of ways to choose the president:
Since there are 15 club members in total, the number of ways to choose the president is 15.
Step 2: Calculate the number of ways to choose the vice president:
After selecting the president, there are 14 remaining members. The number of ways to choose the vice president from these 14 members is 14.
Step 3: Calculate the number of ways to choose the treasurer:
After selecting the president and vice president, there are 13 remaining members. The number of ways to choose the treasurer from these 13 members is 13.
Step 4: Calculate the total number of ways to choose the president, vice president, and treasurer:
Since each step is independent, you can multiply the number of choices at each step: 15 * 14 * 13 = 2,730.
Therefore, there are 2,730 different ways to choose a president, vice president, and treasurer from the student club consisting of 10 computer science majors and 5 mathematics majors.