In how many ways can five friends be arranged themselves for their graduation photo in a row

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The product of a number and consecutive numbers less than it up to 1 is call factorial. n factorials (n!) are expanded as n(n-1)(n-2)...(3)(2)(1).The problem above has n = 5. 

The number of ways 5 people can arrange themselves in a row for picture taking is 120 ways.