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If no two books are alike, in how many ways 2 red, 3 green, an

Question

If no two books are alike, in how many ways $2$ red, $3$ green, and $4$ blue books be arranged on a shelf so that all the books of the same color are together ?

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If no two books are alike, in how many ways

2

red,

3

green, and

4

blue books be arranged on a shelf so that all the books of the same color are together ?

7 mins ago

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7 mins ago

Text solutionVerified

\Rightarrow

In each arrangement red colour books can be arranged in

2! w a ys

\Rightarrow

green colour books in

3! w a ys

and blue colour books in

4! w a ys

Total 3 units are arranged in

3! = 6 w a ys

∴

Total no. of ways

= 3! \times 2! \times 3! \times 4!

= 6 \times 2 \times 6 \times 24

= 1728

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Question Text	If no two books are alike, in how many ways $2$ red, $3$ green, and $4$ blue books be arranged on a shelf so that all the books of the same color are together ?
Answer Type	Text solution:1
Upvotes	150