2024 IGCSE Additional Mathematics October/November 0606/21 Q10

2024 IGCSE Additional Mathematics October/November 0606/21 Q10

6 marks
  1. A class contains 7 girls and 8 boys. A group of 6 is selected from the class. The group must contain at least 3 girls and at least 2 boys. Find the number of different groups that can be selected.[3]
  2. A 5-character code is to be formed from the following characters.
    Letters: A, B, C, D, E, F
    Numbers: 1, 2, 3
    No character may be used more than once in any code. The characters may be arranged in any order.
    Find the number of different codes that can be formed using 4 letters and 1 number.[3]

Solution:

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Answer:(a) \(2940\). (b) \(5400\).

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