Recovering set totals from region data

Recovering set totals from region data

Secondary 3
5 marks
TGM Original Questions

The universal set is a group of 60 pupils. Set A contains those who cycle to school and set B those who walk to school on at least one day of the week. There are 18 in A only, 25 in B only, and 9 in neither.

  1. Find the number in both sets.[2]
  2. Find \(n(A)\) and \(n(B)\).[2]
  3. Find the number who use exactly one of these two methods.[1]

Solution:

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Answer:(a) \(8\) (b) \(26\) and \(33\) (c) \(43\)

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