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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.

Draw the Vennn diagrems to illustrate the following relationship among the sets E,M and U , where E is the set of students studying English in a school , M is the set of students studying Mathematics in the same scholl , U is the set of all students in that school . (i) All the students who study Mathematics study English , but some students who study English do not study Matchematics . (ii) There is not students who studies both Mathematics and English. (iii) Some of the students study Mathematics but do not study English , some study English but do not study Mathematics , and some study both . (iv) Not all students study Matchematics , but every student studyin English studies Mathematics.

Out of 100 students, 15 passed in English, 12 passed in Mathmatics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science , 4 in English and Science, 4 in all the three. Find how many passed (i) in English and Mathematics but not in Science. (ii) in Mathematics and Science but not in English. (iii) in Mathematics only. (iv) in more than one subject only.

If all the words,with or without meaning,are written using the letters of the word QUEEN and are arranged as in English dictionary,then the position of the word QUEEN is:

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