AIEEE Exam Category

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?

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AIEEE Other Question
Mr. and Mrs. Smith have invited 9 of their friends and their spouses for a party at the Waikiki
Beach Resort. They stand for a group photograph. If Mr. Smith never stands next to Mrs.
Smith (as he says they are always together otherwise), how many ways the group can be
arranged in a row for the photograph? How many 3 digit odd numbers are possible by using 1,2,3,4,5,6 when repetition of digits is allowed