是關於permutation和combination的一課
In a football match, each team has 11 players in the field originally. Then, the referee gives 3 red cards to 3 players. It is known that one team remains 10 players and the other team remains 9 players in the field. What is the number of possible lineups in the field now?
答案是1210,但我不知道如何計出這個數.因此希望大家能幫我!謝謝!
中五數學題一問(求step)
2013-05-12 3:16 am
回答 (1)
2013-05-12 7:17 am
✔ 最佳答案
Let say there are two teams A and B. If there are 10 playes in team A and 9 players in team B after the referee gives 3 red cards to 3 playersThe no. of possible lineups is
C(11,10) * C(11,9)
= 11 * 11 * 10/2
= 605
Similarly, when there are 9 playes in team A and 10 players in team B after the referee gives 3 red cards to 3 players.. The no. of possible lineups is 605
So, total no. of possible lineups is 1210
收錄日期: 2021-04-15 15:44:36
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20130511000051KK00253