Practical Applications of Combinations in Selection Scenarios
Explore practical scenarios involving the selection of committees, books, and sports teams using combinations. Learn how to calculate the different ways individuals can be chosen from a larger group based on specific criteria.
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Presentation Transcript
Combinations Practical Applications When we hear about committees or when a question says how many different ways we use combinations Think about people standing on one side of a room and the ones we want have to walk over to the other side e.g 1 How many ways can a committee of 5 people be chosen from a group of 8 8 c =565
e.g 2 How many ways can 3 books be chosen from a shelve of 10 3 c 10 =120
e.g 2 How many ways can a team of 5 players be chosen from a squad of 11 (i) if there are no restrictions (ii) If a certain member must be on the team (iii) If a certain player cannot play (iv) If one player cannot player and one must play c 5 11 =462
e.g 2 How many ways can a team of 5 players be chosen from a squad of 11 (ii) If a certain member must be on the team 4 c 10 =210
e.g 2 How many ways can a team of 5 players be chosen from a squad of 11 (iii) If a certain player cannot play 5 c 10 =120
e.g 2 How many ways can a team of 5 players be chosen from a squad of 11 (iv) If one player cannot player and one must play 4 c 9 =126
