A class has 200 students. 75 offered MTH 101, 86 offered PHY 101, and 100 offered CS 101. If 28 took MTH 101 and PHY 101, 22 took MTH 101 and CS 101, and 30 took PHY 101 and CS 101, how many students

Question

Asked on May 1, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-05-01T08:27:40.309Z

Welcome back — been a while! Let's pick up where you left off. Let N be the total number of students. Let M be the set of students who offered MTH 101. Let P be the set of students who offered PHY 101. Let C be the set of students who offered CS 101. Given information: N = 200 |M| = 75 |P| = 86 |C| = 100 |M P| = 28 |M C| = 22 $|P C

Accepted Answer · 2026-05-01T08:27:40.309Z

Welcome back — been a while! Let's pick up where you left off. Let N be the total number of students. Let M be the set of students who offered MTH 101. Let P be the set of students who offered PHY 101. Let C be the set of students who offered CS 101. Given information: N = 200 |M| = 75 |P| = 86 |C| = 100 |M P| = 28 |M C| = 22 $|P C

A class has 200 students. 75 offered MTH 101, 86 offered PHY 101, and 100 offered CS 101. If 28 took MTH 101 and PHY 101, 22 took MTH 101 and CS 101, and 30 took PHY 101 and CS 101, how many students

Need help with your own homework?

More Mathematics Questions

A class has 200 students. 75 offered MTH 101, 86 offered PHY 101, and 100 offered CS 101. If 28 took MTH 101 and PHY 101, 22 took MTH 101 and CS 101, and 30 took PHY 101 and CS 101, how many students

Need help with your own homework?

More Mathematics Questions