Question

В классе 30 ученик 15 занимаются литература 11 занимаются биологически 4 посещают оба кружка 5 только лит и математика 3 биолог и математика только 1 посещает все три кружка остальные занимаются матем .сколько всего занимаются в матем кружке

Answer 1

5+3+1=9 математический кружок посещяло 9 человек

Answer 2

Calculating the Total Number of Students in the Math Club

To calculate the total number of students in the math club, we can use the principle of inclusion-exclusion based on the given information about the number of students involved in different clubs and their overlaps.

Let's denote: - L: Number of students in the literature club - B: Number of students in the biology club - M: Number of students in the math club - LB: Number of students in both literature and biology clubs - LM: Number of students in both literature and math clubs - BM: Number of students in both biology and math clubs - LBM: Number of students in all three clubs

Given: - L = 15 - B = 11 - LB = 4 - LBM = 1 - LM = 5 - BM = 3

Using the principle of inclusion-exclusion, the total number of students in the math club (M) can be calculated as: M = L + B - LB - 2 * LBM + LM + BM

Let's calculate M using the given values.

M = 15 + 11 - 4 - 2*1 + 5 + 3 M = 26 - 4 - 2 + 5 + 3 M = 26 - 3 M = 23

Therefore, the total number of students in the math club is 23.