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mylen [45]
3 years ago
5

Consider the number 4n , where n is a natural number. Check whether there is any value of e N for which 4n ends with the digit z

ero
Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0
For the number 4n to end with digit zero for any natural number n, it should be divisible by 5. This means that the prime factorisation of 4n should contain the prime number 5
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Answer:

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Step-by-step explanation:

The complete question is;

<em>Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade.</em>

<em>(a) How many different groups of 5 problems can be chosen from the 12</em>

<em>problems?</em>

<em>(b)Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?</em>

<u>In (a)</u>

<u></u>

Apply the formula

\frac{n!}{(n-r)!(r!)}

where n=12 and r=5

substitute values

=\frac{12!}{(12-5)!(5!)} \\\\\\=\frac{12!}{(7!)(5!)} \\\\\\=\frac{12*11*10*9*8}{5*4*3*2*1} \\\\\\=\frac{95040}{120} \\\\\\=792

In (b)

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<em />

<em />

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