In a certain school, there were 180 students in year 7. 110 study french, 88 study german, 65 study indonesian, 40 study both french and german while 38 study german and german only. find the number of students who study all the three languages. also, find the number of students who study indonesian only

Respuesta :

The number of students who study Indonesian only = 10

Total pupils= 110

Study French = 88

Study Indonesian = 65

Study French and German = 40

Study German and Indonesian = 38

Study French and Indonesian = 26

Study German only = 19

Students who study German only = G - F∩G - G∩I + F∩G∩I

                                                     19= 88-40-38 + F∩G∩I

                                                   F∩G∩I = 9

Students who study all three languages = 9

So the students who study only Indonesian = I - F∩I - G∩I + F∩G∩I

                                                                        = 65- 38-26+ 9

                                                                        = 10

Therefore the number of students studying Indonesian only = 10.

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The complete question is:

In a certain school, there are 180 pupils in Year 7. One hundred and

ten pupils study French, 88 study German and 65 study Indonesian.

Forty pupils study both French and German, 38 study German and

Indonesian, and 26 study both French and Indonesian, while 19 study

German only. Find the number of pupils who study Indonesian only.

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