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Many people know the mathematical constant pi is approximately 3.14. But that's not exact. To be more precise, here are 20 decimal places: 3.14159265358979323846. Still not exact, though. In fact, the actual value is irrational, a decimal that goes on forever without any repeating pattern. But notice that there are no 0's and only one 7 in the 20 decimal places above. Does that pattern persist , or do all the digits show up with equal frequency? The table below shows the number of times each digit appears in the first million digits of the decimal expression for pi. Answer the questions below to test the hypothesis that the digits 0 through 9 are uniformly distributed in the decimal representation of pi.
THE FIRST MILLION DIGITS OF pi
Digit Count
0 99959
1 99758
2 100026
3 100229
4 100230
5 100359
6 99548
7 99800
8 99985
9 100106
Question 1. If the digits 0 through 9 are equally likely, how many of each digit would you expect to occur in the first million digits of pi (do not separate digits in your answer with commas)1

Answer :

The number of ways in which the digits can be arranged is 10!.

How are the digits arranged in permutation & combination?

As we know about permutation and combination. We will use that knowledge here.

So, there are 10 digits from 0 to 9.

Therefore, we can say that there are 10 ways to arrange it.

So, if an event has n number of ways to arrange it then we say that the answer will be n!.

Therefore, from the above statement, we can say that if there are 10 ways to arrange it then the answer will be 10!.

Hence, the correct answer is option(c) 10!

Learn more about permutation & combination, refer to:

brainly.com/question/4658834

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