There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics, and 188 who have taken courses in both calculus and discrete mathematics. How many students have taken a course in either calculus or discrete mathematics

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Answer:

369 students have taken a course in either calculus or discrete mathematics

Step-by-step explanation:

I am going to build the Venn's diagram of these values.

I am going to say that:

A is the number of students who have taken a course in calculus.

B is the number of students who have taken a course in discrete mathematics.

We have that:

[tex]A = a + (A \cap B)[/tex]

In which a is the number of students who have taken a course in calculus but not in discrete mathematics and [tex]A \cap B[/tex] is the number of students who have taken a course in both calculus and discrete mathematics.

By the same logic, we have that:

[tex]B = b + (A \cap B)[/tex]

188 who have taken courses in both calculus and discrete mathematics.

This means that [tex]A \cap B = 188[/tex]

212 who have taken a course in discrete mathematics

This means that [tex]B = 212[/tex]

345 students at a college who have taken a course in calculus

This means that [tex]A = 345[/tex]

How many students have taken a course in either calculus or discrete mathematics

[tex](A \cup B) = A + B - (A \cap B) = 345 + 212 - 188 = 369[/tex]

369 students have taken a course in either calculus or discrete mathematics

Number of people choose either calculus or discrete math is 369

Given that;

Number of people choose calculus = 345  

Number of people choose discrete math = 212  

Number of people choose Calculus and discrete math = 188

Find:

Number of people choose either calculus or discrete math

Computation:

Number of people choose either calculus or discrete math = Number of people choose calculus + Number of people choose discrete math - Number of people choose Calculus and discrete math

Number of people choose either calculus or discrete math =  345 + 212 - 188

Number of people choose either calculus or discrete math = 369

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