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Selecting 4 men and 4 women (or boys and girls) taking given numbers from two groups

The same question, asked 2 times: 4 Apr 2024*, 24 Jan 2025. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    4 Apr 2024

    176
    There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the number of ways of selecting 4 men and 4 women is......
  2. Question 2

    24 Jan 2025

    141
    Group A consists of 7 boys and 3 girls, while group BB consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited for a picnic if 5 of them must be from group AA and the remaining 3 from group BB, is equal to:

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