Final answer:
To form the subcommittee, we can use the concept of combinations. Choosing 5 members out of 9, the total number of different subcommittees that can be formed is 1512.
Step-by-step explanation:
To determine the number of different subcommittees that can be formed, we need to use the concept of combinations. In this case, we need to choose 5 members out of 9 to form the subcommittee.
The formula to calculate the number of combinations is:
C(n, r) = n! / (r!(n-r)!)
Where n is the total number of members (9) and r is the number of members chosen (5).
Plugging in the values into the formula:
C(9, 5) = 9! / (5!(9-5)!)
Simplifying the expression:
C(9, 5) = (9 * 8 * 7 * 6 * 5!) / (5! * 4 * 3 * 2 * 1)
Cancelling out the common factors:
C(9, 5) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
C(9, 5) = 1512
Therefore, there are 1512 different subcommittees that could be formed.