If no two books are alike, in how many ways can 2 red, 3 green, and
4 blue books be arranged on a shelf so that all the books of the same
colour are together?
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Answer:
⇒ In each arrangement red colour books can be arranged in 2 ways
⇒ green colour books in 3 ways
and blue colour books in 4 ways
Total 3 units are arranged in 3 =6 ways
∴ Total no. of ways =3 × 2 × 3 × 4
= 6 × 2 × 6 × 24
= 1728
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