AIEEE Exam Category

How many different 4-digit numbers can be formed from the digits 2, 3,4and 6 if each digit is used only once in a number? Further, how many of these numbers
(i) end in a 4?
(ii) end in a 3?
(iii) end in a 3 or 6?

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AIEEE Other Question

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
How many numbers lying between 100 & 1000 can be formed using the digits 2, 3, 0, 8, 9 (no digit being repeated).