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Kipish [7]
3 years ago
10

A Social Security number consists of nine digits in a particular​ order, and repetition of digits is allowed. After seeing the l

ast four digits printed on a​ receipt, if you randomly select the other​ digits, what is the probability of getting the correct Social Security number of the person who was given the​ receipt?
Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

Answer:  \dfrac{1}{100,000}

Step-by-step explanation:

Given : The total number of digits in number system (0 to 9) = 10

The number of digits in a social security number = 9

After last four digits are printed, the number of digits remaining to print = 9-4=5

Since , repetition of digits is allowed, then the total number of ways to print 5 remaining digits is given by :-

10\times10\times10\times10\times10=100,000

Now, the probability of getting the correct Social Security number of the person who was given the​ receipt is given by:-

\dfrac{\text{Number of correct code}}{\text{Total number of codes}}\\\\=\dfrac{1}{100,000}

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If we want to write this mathematically we can just say that there are:
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In maths however, we have a much simpler way of saying this, which we call "factorial".
That whole stream of numbers up there can just be said to be "9 factorial", or if we are writing it in an equation "9!". You may find that your calculator has a button which has an "!" on it. If you put in the number of performers and then press the "!" button, it will give you the answer to your question.
Hope this helped you :)
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