Question

a group of 7 people is forming a subcommittee of 4 members, including a president, vice president, secretary, and treasurer. in how many ways can they arrange the positions within the subcommittee?

Answer 1

There are 840 ways to arrange the positions within the subcommittee of 7 people.

Step-by-step explanation:

To find the number of ways the positions within the subcommittee can be arranged, we need to consider the number of choices for each position and multiply them together.

The president's position can be filled by any of the 7 members. After the president is chosen, the vice president's position can be filled by any of the remaining 6 members. Similarly, the secretary's position can be filled by any of the remaining 5 members, and the treasurer's position can be filled by any of the remaining 4 members.

So, the total number of ways the positions within the subcommittee can be arranged is:

7 x 6 x 5 x 4 = 840