A shelf contains 20 books of which 4 are...

A shelf contains 20 books of which 4 are single volume and the other form sets of 8, 5, and 3 volumes. Find the number of ways in which the books (i)may be arranged on the shelf so that (ii)volumes of each set will not be separated. (iii)volumes of each set remain in their due order.

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A shelf contains 20 books of which 4 are single volume and the other form sets of 8, 5, and 3 volumes. Find the number of ways in which the books (i)may be arranged on the shelf so that (ii)volumes of each set will not be separated. (iii)volumes of each set remain in their due order.

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