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in a class of 25 students, 13 were math majors, 8 were computer science…

Question

in a class of 25 students, 13 were math majors, 8 were computer science majors, and 5 were dual majors in math and computer science. part: 0 / 4 part 1 of 4 use the venn diagram tool to illustrate the situation.

Explanation:

Step1: Find only Math majors

$13 - 5 = 8$

Step2: Find only CS majors

$8 - 5 = 3$

Step3: Find non-majors in class

$25 - (8 + 3 + 5) = 9$

Step4: Assign values to Venn

  • Outside both circles (Class only): 9
  • Math circle only: 8
  • Overlap (Dual majors): 5
  • Computer Science circle only: 3

Answer:

  • Area outside both circles (Class): $\boldsymbol{9}$
  • Math circle only: $\boldsymbol{8}$
  • Overlap of Math and Computer Science: $\boldsymbol{5}$
  • Computer Science circle only: $\boldsymbol{3}$