ITPEC IP April 2024 Question 4
ITPEC IP April 2024 — Question 4 of 100
There are 25 possible selections because each of the two roles can independently be assigned to any of the five candidates. The chairperson has five possible choices. Since dual roles are allowed, choosing a chairperson does not remove that person from consideration for secretary, so the secretary also has five choices.
By the multiplication principle, the number of ordered pairs (chairperson, secretary) is 5 × 5 = 25. The order matters because the two positions are different, and pairs such as (A, B) and (B, A) represent different assignments.
Answer (d)
Why not others:
- (a) 5 counts only one role
- (b) 10 does not include all independent role assignments
- (c) 20 would equal 5 × 4, which incorrectly forbids one person from holding both roles
Key rule: When two distinguishable choices are independent and repetition is allowed, multiply the number of choices: n × n = n².
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