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vivado [14]
3 years ago
7

The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: T

he digit must be odd. The letters A, E, I, O, and U cannot be used. Letters cannot be used more than once.
Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

For the code we have 3 selections.

The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}

So we have 5 options.

The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)

So here we have 27 - 5 = 22 options

The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.

Here we have 22 - 1 = 21 options.

The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:

C = 5*22*21 = 2310.

There are 2310 different possible codes

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3 years ago
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motikmotik
<h3>Answer:  5/9</h3>

As an approximate decimal, this is 0.5556 which converts to 55.56%

======================================================

Explanation:

Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.

We then select a house at random. Someone tells us (or we have some kind of prior knowledge) that whichever house is selected, they have an answering machine. We can ignore the 10 households that don't have an answering machine. Out of those 90 households, 50 have both features. So 50/90 = 5/9 is the probability of getting a household with both features.

The answer would be 1/2 or 50% if we didn't have the prior knowledge of the household having an answering machine. But with this prior knowledge, the conditions change and so does the probability.

----------------

You could also compute 0.50/0.90 to get the same answer.

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Step-by-step explanation:

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Step-by-step explanation:

i really hope thats right!

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Answer:

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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