Express the 6! as a product of factors.
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Express the 6! as a product of factors.

[From: ] [author: ] [Date: 11-05-08] [Hit: ]
During the time of the American Revolution, the colonists used combinations of a barrel, basket, and a flag placed in different positions atop a post. How many different signals could be sent by using 3 flags, one above the other on a pole,......
A. 21^2
B. 6·5·4·3·2·1
C. 6·5·4·3·2
D. 30·12·2

Signaling is a means of communication through signals or objects. During the time of the American Revolution, the colonists used combinations of a barrel, basket, and a flag placed in different positions atop a post. How many different signals could be sent by using 3 flags, one above the other on a pole, if 8 different flags were available?

A. 336
B. 124
C. 426
D. 368

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Hello,well for the first question, the first choice is obviously wrong, and the second choice is the most reasonable, since it represents the most number of factors of 6!
The second question, the answer would be 8*7*6=336 since there is no repetition allowed ;)
Have a nice day :D

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6!=1x2x3x4x5x6

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6! = (6)(5)(4)(3)(2)(1)
The answer is B.
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