2026 IGCSE Additional Mathematics February/March 0606/22 Q4

2026 IGCSE Additional Mathematics February/March 0606/22 Q4

6 marks
  1. A 6-digit number is to be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9.
    No digit may be used more than once in any 6-digit number.
    Find how many 6-digit numbers can be formed in the following cases.
    1. There are no further restrictions.[1]
    2. The 6-digit number includes the digit 4.[2]
  2. A class contains 10 girls and 12 boys.
    A group of 6 students is to be selected from the class.
    There must be at least 2 girls and at least 2 boys in the group.
    Find the number of different selections that can be made.[3]

Solution:

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Answer:(a)(i) \(60480\) (ii) \(40320\) (b) \(62535\)

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