Final answer:
The coach can choose from 330 different combinations of 4 players out of 11 girls for the softball team positions. The correct answer is B) 330.
Step-by-step explanation:
The question is asking for the number of combinations in which a coach can choose 4 players from a group of 11 girls for a softball team. This is a problem of combinatorics, specifically combinations without repetition, because the order in which the players are chosen does not matter, and each girl can only be chosen once. To calculate this, we use the formula for combinations:
C(n, k) = n! / (k! * (n - k)!)
Where: Pluggin the numbers into the formula, we get:
C(11, 4) = 11! / (4! * (11 - 4)!)
= 11! / (4! * 7!)
= (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1)
= 330
Therefore, the coach can choose from 330 different combinations of girls for the 4 positions on the softball team. The correct answer is B) 330.