How many different ways can a(n) 12-member jury be selected from 24 possible jury members?
Final Answer:
Step 1 :This problem is about selecting a 12-member jury from 24 possible jury members. The order in which we select the jury members does not matter, so this is a combination problem.
Step 2 :In mathematics, a combination is a selection of items without considering the order. The formula for combinations is:
Step 3 :Here, n = 24 (the total number of possible jury members) and k = 12 (the number of jury members to select).
Step 4 :Substituting these values into the combination formula, we get:
Step 5 :Calculating the above expression, we find that there are 2704156 different ways a 12-member jury can be selected from 24 possible jury members.
Step 6 :Final Answer: