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In a music school 28 students learn trumpet, 30 students learn violin and 32 students learn guitar. 6 students learn trumpet and violin, 8 students learn violin and guitar, 10 students learn guitar and trumpet. The number of students who learn only one instrument is 54. Also 20 students learn only violin. Every student learn atleast one instrument out of the three instruments. Find the number of students who learn trumpet and guitar but not violin?

In a music school 28 students learn trumpet, 30 students learn violin and 32 students learn guitar. 6 students learn trumpet and violin, 8 students learn violin and guitar, 10 students learn guitar and trumpet. The number of students who learn only one instrument is 54. Also 20 students learn only violin. Every student learn atleast one instrument out of the three instruments. Find the number of students in the music school.