Suppose 32 students are in a Programming class(P)and 24 students are in a Calculus class C, and suppose 10 students are in bothclasses. Find the number of students who are:(a) in class Por in class C;(b) only in class P;(c) only in class C.

Filling in the values in a simple Venn diagram will show:

P only: 22
C only: 14
P and C : 10
P or C = total = 22+10+14 = 46

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In a Programming class (P) with 32 students and a Calculus class (C) with 24 students, if 10 students are enrolled in both classes, we can find the number of students who are: (a) in class P or in class C by adding the number of students in each class and subtracting the number of students in both classes. This gives us a total of 46 students. (b) only in class P by subtracting the number of students in both classes from the total number of students in class P. This gives us a total of 22 students. (c) only in class C by subtracting the number of students in both classes from the total number of students in class C. This gives us a total of 14 students. Understanding the distribution of students among classes can help analyze enrollment trends and plan future courses accordingly.