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marysya [2.9K]
3 years ago
12

in a five character password the first two characters must be digits and the last three characters must be letters if no charact

ers are allowed to repeat how many unique passwords are possible
Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer:

1,404,000 unique passwords are possible.

Step-by-step explanation:

The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

2 digits from a set of 10(there are 10 possible digits, 0-9).

3 characters from a set of 26. So

P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000

1,404,000 unique passwords are possible.

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3 years ago
a pineapple is 7 times as heavy as an orange. the pineapple also weight 870 grams more than orange what is the total weight in g
Alex Ar [27]
An orange ... o grams = ?
a pineapple ... p = 7 * o
                        p = 870 grams + o

If you would like to know what is the total weight in grams for the pineapple and orange, you can calculate this using the following steps:

7 * o = 870 + o
7 * o - o = 870
6 * o = 870      /6
o = 870 / 6
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p = 7 * o = 7 * 145 grams = 1015 grams

Result: A pineapple weights 1015 grams and an orange 145 grams.
7 0
3 years ago
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Set up a system of equations:

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The variable B is already solved, so plug into bottom equation:

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Plug C back in:

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B=68

So B is 68 degrees and C is 22 degrees

Hope this helped!

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The rule for going 90 degree counter clockwise is:
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