AIEEE Exam Category

How many 3 digit odd numbers are possible by using 1,2,3,4,5,6 when repetition of digits is allowed

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AIEEE Other Question

In an examination hall there are four rows of chairs. Each row has 8 chairs one behind the other. There are two classes sitting for the examination with 16 students in each class. It is desired that in each row, all students belong to same class and that no two adjacent rows are allotted to the same class . In how many ways can these 32 students be seated? How many arrangements are possible for the 9 books to be arranged on a shelf so that
(i) 3 of the books are always together.
(ii) 3 of the books are never together