Question

A photographer takes 12 different photographs. There are 3 sunsets, 4 oceans, and 5 mountains.

How many possible arrangements are there if all the photographs of the mountains are next to each other?

Answer 1

• 4838400 arrangements

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Permutation of 5 mountain photographs:

• P(5, 5) = 5! = 120

Since all are next to each other, the mountain photographs count as one item along with the other 3 + 4 = 7 photographs and therefore the permutation for this is:

• P(8,8) = 8! = 40320

Total arrangements is:

• 120*40320 = 4838400