ITPEC IP October 2019 Question 52

Source exam: ITPEC IP October 2019Topic: Project Management

ITPEC IP October 2019 — Question 52 of 100

A team of ten requires three times as many one-to-one communication paths as a team of six. For n people, every distinct pair forms one path, so the number is n(n - 1) / 2. Six people require 6 x 5 / 2 = 15 paths, while ten require 10 x 9 / 2 = 45; therefore, 45 / 15 = 3.

Answer (c)

Why not others:
- 1.5, 2.5, and 6 do not equal the ratio of 45 paths to 15 paths

- communication paths grow by pairs, not in direct proportion to the number of people

Key rule: The number of one-to-one communication paths among n members is n(n - 1) / 2.

AI-generated — may contain errors

The original exam layout is preserved in the image so diagrams, formulas, tables, and code remain accurate.

This question comes from an official ITPEC past paper. ITPEC Practice is an independent study tool and is not affiliated with ITPEC. See the official IP past-paper collection or Report an issue.