2024 IGCSE Additional Mathematics October/November 0606/22 Q7

2024 IGCSE Additional Mathematics October/November 0606/22 Q7

8 marks

A class of 10 students includes Abby and Ben.

  1. A group of 5 students is to be selected from the class. Find the number of possible groups in the following cases.
    1. There are no restrictions.[1]
    2. The group includes both Abby and Ben.[2]
    3. The group includes either Abby or Ben, but not both.[2]
  2. All 10 students are arranged in a line. How many arrangements are possible if there are exactly three students between Abby and Ben?[3]

Solution:

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Answer:(a)(i) \(252\); (ii) \(56\); (iii) \(140\). (b) \(483840\).

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