Use Venn Diagram to answer this question A group of 120 univ

Use Venn Diagram to answer this question

A group of 120 university students was surveyed about whether they had a job, whether they were carrying a full load of courses, and whether they lived on campus. These were the results:

- 49 had a job

- 52 lived off campus

-44 lived on campus and carried a full load but did not have a job.

- 17 had a job and carried a full load.

- 23 did nor carry a full load and did not have a job

- 29 lived off campus, had a job, and did not carry a full load

11 lived off campus, did not have a job, and did not carry a full load.

How many students lived on campus, had a job, and carried a full load? How many students lived off campus, did not have a job, and carried a full load?

Solution

Use Venn Diagram to answer this question

A group of 120 university students was surveyed about whether they had a job, whether they were carrying a full load of courses, and whether they lived on campus. These were the results:

- 49 had a job

- 52 lived off campus

-44 lived on campus and carried a full load but did not have a job.

- 17 had a job and carried a full load.

- 23 did nor carry a full load and did not have a job

- 29 lived off campus, had a job, and did not carry a full load

11 lived off campus, did not have a job, and did not carry a full load.

How many students lived on campus, had a job, and carried a full load? How many students lived off campus, did not have a job, and carried a full load?

Ans.:

Number of students lived on campus, had a job, and carried a full load = 17

Number of students lived off campus, did not have a job, and carried a full load = 29