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In a group of 50 students, the number of students learning - French, English, Sanskrit were found to be as follows: French = 17, English = 13, Sanskrit = 15, French and English = 09, English and Sanskrit = 4, French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who are learning at? French only (ii) English only (iii) Sanskrit only (iv) English and Sanskrit but not French (v) French and Sanskrit but not English (vi) French and English but not Sanskrit (vii) at least one of the three languages (viii) none of the three languages (ix) exactly one language (X) exactly two languages

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4, French and Sanskrit = 5, English , French and Sanskrit = 3. Find the number of students who study (i) only French, (ii) only English. (iii) only Sanskrit. , (iv) English and Sanskrit but not French. (v) French and Sanskrit but not English. (vi) French and English but not Sanskrit. (vii) atleast one of the three languages. (viii) none of the three languages.

The probability that a student passes in Mathematics is and the probability that hepasses in English is (2)/(3) .and the probability that he hepasses in English is (4)/(9). The probability that he passes in any one of the courses is (4)/(5) .The probability that he passes in both is

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