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If 4 Maths books are selected from 6 different Maths books and 3 English books are
chosen from 5 different English books, how many ways can these books be arranged on
a shelf if:
a) there are no restrictions?
b) the 4 Maths books remain together?
c) a Maths book is at the beginning of the shelf?
d) Maths and English books alternate?
e) a Maths book is at the beginning and an English book is in the middle of the shelf?