probability with numbers and letters that are a combo of both order and non-order

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$1.00 probability with numbers and letters that are a combo of both order and non-order

From Mathematics: Probability
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Due on Mar. 12, 2010
Asked on Mar. 10, 2010 at 02:22:51AM

Q:

At the ACE Security Company, each ID badge has 3 letters which appear consecutively and alphabetically in order, followed by 3 digits from 1 through 7with no repetition in any order. how many different ID badges are possible?

refer to # 10 on the word document

the practice book says the answer is 5040 and says to simply multiply (24)(1)(1)(7)(6(5) but I though I was supposed to use nPr and nCr

how am I to know that I should use a non-traditional method????

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prac test 1 # 6, 8, 10.jpg (261K)

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ingenious
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$1.00 Full explanation of logic behind this problem

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Posted on Mar. 10, 2010 at 04:18:22AM

A:
Preview: ... ink about the situation in a logical way before you apply mathematics to it. "Consecutively and alphabetically" means that there will be three letters in order like ABC or IJK or XY ...

The full tutorial is about 159 words long .

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Nikhiln
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$1.00 Answers as Discussed....

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Posted on Mar 13, 2010 at 1:39:48PM

A:
Preview: ... in all there are 24 possibilites!! now, if the first letter has been decided, ...

The full tutorial is about 59 words long .