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Will must choose a 3-character computer password, consisting of 1 lett
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15 Oct 2021, 04:49
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Will must choose a 3-character computer password, consisting of 1 letter from the alphabet and 2 distinct digits, in any order.From how many different passwords can Will choose?
Re: Will must choose a 3-character computer password, consisting of 1 lett
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15 Oct 2021, 05:17
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Carcass wrote:
Will must choose a 3-character computer password, consisting of 1 letter from the alphabet and 2 distinct digits, in any order.From how many different passwords can Will choose?
A. 390 B. 2,340 C. 4,680 D. 7,020 E. 14,040
Take the task of creating a password and break it into stages.
Stage 1: Select the one letter to be used in the code There are 26 letters from which to choose, so we can complete this stage in 26 ways.
Stage 2: Select the two digits to be used in the code Since the order in which we select the two digits does not matter, we can use combinations. We can select 2 digits from 10 women in 10C2 ways (45 ways) So, we can complete stage 2 in 45 ways
NOTE: We now have the 3 characters to be used in the code. At this point, we need to arrange those 3 characters.
Stage 3: Arrange the 3 selected characters. RULE: We can arrange n unique objects in n! ways. So, we can arrange the 3 characters in 3! ways (6 ways) So we can complete stage 3 in 6 ways.
By the Fundamental Counting Principle (FCP), we can complete all 3 stages (and thus create a password ) in (26)(45)(6) ways (26)(45)(6) = 7020
Re: Will must choose a 3-character computer password, consisting of 1 lett
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20 Sep 2023, 15:42
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