A class has 175 students. The following data | vedclass

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(C) Let $M$,$P$,and $C$ represent the sets of students opting for Mathematics,Physics,and Chemistry,respectively.We are given:$n(M) = 100$,$n(P) = 70$

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(C) Let $M$,$P$,and $C$ represent the sets of students opting for Mathematics,Physics,and Chemistry,respectively.We are given:$n(M) = 100$,$n(P) = 70$,$n(C) = 40$$n(M \cap P) = 30$,$n(M \cap C) = 28$,$n(P \cap C) = 23$$n(M \cap P \cap C) = 18$The number of students who have opted for Mathematics alone is given by the formula:$n(M 	ext{ only}) = n(M) - n(M \cap P) - n(M \cap C) + n(M \cap P \cap C)$Substituting the values:$n(M 	ext{ only}) = 100 - 30 - 28 + 18$$n(M 	ext{ only}) = 100 - 58 + 18$$n(M 	ext{ only}) = 42 + 18 = 60$Thus,$60$ students have opted for Mathematics alone.

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