ITPEC IP April 2022 Question 4
ITPEC IP April 2022 — Question 4 of 100
There are 25 selections because each of the two roles independently has five possible candidates. Dual roles are allowed, so selecting one person as chairperson does not remove that person from consideration as secretary. By the multiplication rule, 5 chair choices × 5 secretary choices = 25 ordered role assignments.
Answer (d)
Why not others:
- 5 counts only one role
- 10 adds the numbers of choices instead of multiplying independent choices
- 20 would be 5 × 4, appropriate only if the same person could not hold both roles
Key rule: When roles are distinct and selections are independent, multiply the choices; allowing dual roles means sampling with replacement.
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