At a college teaching Craft, Sciences and Humanities, the new intake of students can study a maximum of two of the three subject. One more student is studying a craft and a humanities than a craft only. Two more are studying both a science and a humanities than are studying both a craft and a science. Half as many are studying both a craft and a humanities as are studying both a craft and a science. Twenty-one students are not doing a craft subject. Three students are studying a humanities subject only and six are studying science only.  S- SCIENCE (28 students)    H - HUMANITIES  (20 students)  C- CRAFT (19 students)   How many students are taking all subjects?

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At a college teaching Craft, Sciences and Humanities, the new intake of students can study a maximum of two of the three subject. One more student is studying a craft and a humanities than a craft only. Two more are studying both a science and a humanities than are studying both a craft and a science. Half as many are studying both a craft and a humanities as are studying both a craft and a science. Twenty-one students are not doing a craft subject. Three students are studying a humanities subject only and six are studying science only. 

S- SCIENCE (28 students)    H - HUMANITIES  (20 students)  C- CRAFT (19 students)

 

How many students are taking all subjects?

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