Letters a through f are to be arranged in a three by two


Question: 1. Letters a through f are to be arranged in a three by two pattern, with one symbol in each location. For example,

d a

b f

c e

is one such pattern. How many patterns can be formed in this way?

2. Bowling pins are traditionally arranged in a triangle of fifteen identical pins. Suppose we decide to number the pins 1 through 15. How many different arrangements are there of these pins?

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Mathematics: Letters a through f are to be arranged in a three by two
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