ITPEC IP April 2026 Question 3
ITPEC IP April 2026 — Question 3 of 100
25 combinations — each of the two roles can independently be assigned to any of the five candidates.
There are five choices for chairperson. Because dual roles are allowed, selecting someone as chairperson does not remove that person from the secretary candidates, so there are still five choices for secretary. By the multiplication principle, 5 × 5 = 25.
Answer (d)
Why not others:
- (a) 5 — counts only one role and ignores the independent secretary choice
- (b) 10 — adds the five choices for each role, but consecutive independent choices must be multiplied
- (c) 20 — equals 5 × 4 and would apply if the same person could not hold both roles
Key rule: Multiply the number of choices at each stage. When repetition or dual roles are allowed, every stage retains all candidates, giving n × n = n² ordered assignments.
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