in an encyclopedia of language, the author presents five sentences that make a reasonable paragraph…

in an encyclopedia of language, the author presents five sentences that make a reasonable paragraph regardless of their order. the sentences are listed below. mark had told him about the foxes. john looked out of the window. could it be a fox? however, nobody had seen one for months. he thought he saw a shape in the bushes. in how many different orders can the five sentences be arranged? the five sentences can be arranged in different orders.

in an encyclopedia of language, the author presents five sentences that make a reasonable paragraph regardless of their order. the sentences are listed below. mark had told him about the foxes. john looked out of the window. could it be a fox? however, nobody had seen one for months. he thought he saw a shape in the bushes. in how many different orders can the five sentences be arranged? the five sentences can be arranged in different orders.

Answer

Explanation:

Step1: Recall permutation formula

The number of permutations of (n) distinct objects is (n!). Here (n = 5) (the 5 sentences).

Step2: Calculate 5 - factorial

(n!=n\times(n - 1)\times\cdots\times1), so (5!=5\times4\times3\times2\times1=120).

Answer:

120