HIGHER SECONDARY EDUCATION BOARD [HSEB]
Mathematics – Grade XII
Examination – 2072 (2015)
Subject Code: 216 ‘D’
Time – 3 hrs
Full Marks – 100
Pass Marks – 35
It is for those students whose first two digit of registration number starts from 68 or greater than.
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Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.
Note: Group A is compulsory and select another one group either B or C.
Attempt all the questions.
(a) In how many ways the letters of the word ELEMENT can be arranged so that vowels are always together? 
(c) In a Caley’s table for a finite group, why does each element occur exactly once in each row and exactly once in each column? 
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