객관식
How many possible outcomes are there if you roll 5 dice?
400
views
21. Combinatorics and Probability
Combinatorics
객관식
Emily is organizing her closet. She has 15 shirts left to hang but has space in one section for 6 shirts. How many ways could she hang shirts in that section?
A
3,603,600
B
90
C
9
D
362,880
검증된 단계별 안내1
Identify the problem as a permutation problem where you need to select and arrange 6 shirts out of 15.
Recall the formula for permutations: P(n, r) = n! / (n - r)! where n is the total number of items to choose from, and r is the number of items to arrange.
Substitute the values into the formula: n = 15 and r = 6, so you need to calculate P(15, 6) = 15! / (15 - 6)!.
Calculate the factorials: 15! is the product of all positive integers up to 15, and (15 - 6)! is the product of all positive integers up to 9.
Divide 15! by 9! to find the number of ways to arrange 6 shirts out of 15.
관련 영상
관련 실천
