In a class of 55 students,23 study Mathematic | vedclass

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(A) Let $M, P, C$ represent the sets of students studying Mathematics,Physics,and Chemistry respectively.Given: $n(M) = 23, n(P) = 24, n(C) = 19$$n(M

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$22$

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(A) Let $M, P, C$ represent the sets of students studying Mathematics,Physics,and Chemistry respectively.Given: $n(M) = 23, n(P) = 24, n(C) = 19$$n(M \cap P) = 12, n(M \cap C) = 9, n(P \cap C) = 7$$n(M \cap P \cap C) = 4$Number of students studying only Mathematics:$n(M 	ext{ only}) = n(M) - n(M \cap P) - n(M \cap C) + n(M \cap P \cap C) = 23 - 12 - 9 + 4 = 6$Number of students studying only Physics:$n(P 	ext{ only}) = n(P) - n(P \cap M) - n(P \cap C) + n(M \cap P \cap C) = 24 - 12 - 7 + 4 = 9$Number of students studying only Chemistry:$n(C 	ext{ only}) = n(C) - n(C \cap M) - n(C \cap P) + n(M \cap P \cap C) = 19 - 9 - 7 + 4 = 7$Total students studying exactly one subject:$6 + 9 + 7 = 22$

In a class of $55$ students,$23$ study Mathematics,$24$ study Physics,$19$ study Chemistry,$12$ study Mathematics and Physics,$9$ study Mathematics and Chemistry,$7$ study Physics and Chemistry,and $4$ study all three subjects. Find the number of students who study exactly one subject.

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