At a school education fair, 50 students were interviewed about their intereste programmes of study and all of them have shown interest in at least one of the thr- programmes in the survey. From the results of the interviews, there were 26 studer who were interested in studying IT programmes, 18 were interested in Busine programmes, 20 were interested in Hospitality programmes and 5 students we interested in all three programmes. How many of the students were interested in exact (i) two programmes only?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Subject: Discrete Mathematics 1b

At a school education fair, 50 students were interviewed about their interested
programmes of study and all of them have shown interest in at least one of the three
programmes in the survey. From the results of the interviews, there were 26 students
who were interested in studying IT programmes, 18 were interested in Business
programmes, 20 were interested in Hospitality programmes and 5 students were
interested in all three programmes. How many of the students were interested in exactly
(i)
two programmes only?
(ii)
one programme only?
Transcribed Image Text:At a school education fair, 50 students were interviewed about their interested programmes of study and all of them have shown interest in at least one of the three programmes in the survey. From the results of the interviews, there were 26 students who were interested in studying IT programmes, 18 were interested in Business programmes, 20 were interested in Hospitality programmes and 5 students were interested in all three programmes. How many of the students were interested in exactly (i) two programmes only? (ii) one programme only?
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