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Misc 13 - Chapter 1 Class 11 Sets (Term 1)
Last updated at Jan. 27, 2020 by Teachoo
Miscellaneous
Misc 1
Misc 2 (i)
Misc 2 (ii) Important
Misc 2 (iii) Important
Misc 2 (iv)
Misc 2 (v)
Misc 2 (vi) Important
Misc 3
Misc 4 Important
Misc 5
Misc 6
Misc 7 Important
Misc 8 Important
Misc 9 Important
Misc 10
Misc 11
Misc 12 Important
Misc 13 Important You are here
Misc 14
Misc 15 Important
Misc 16 Important
Transcript
Misc 13 In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee? Let T, C be the set of students taking tea & coffee respectively Number of students taking tea = n(T) = 150 Number of students taking coffee = n(C) = 225 Number of students taking both tea and coffee = n(T ∩ C) = 100 n(T ∪ C) = n(T) + n(C) – n(T ∩ C)] = 150 + 225 – 100 = 275 Number of students taking either tea or coffee = n(T ∪ C) = 275 Number of student taking neither tea nor coffee = Number of students not taking tea and number of students not taking coffee = Total number of students – Number of students who like either tea or coffee = 600 – 275 = 325 Hence, 325 students were taking neither tea nor coffee.
