Factorial & Binomial Coefficient

1. Define n! factorial and binomial coefficient:

faktorial1
Solution:
faktorial1a

2.Simplify:

faktorial2
Solution:
faktorial2r

3.Solve in positive integers:

faktorial3
Solution:
faktorial3r

4.Solve in positive integers:

faktorial4
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5.Solve in integers:

faktorial5
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6.Which number is greater?

a = 50! + 53! or b = 51! + 52!
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7.Solve in positive integers:

faktorial7
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8.Solve in positive integers:

faktorial8
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9.Solve the set of equations in positive integers and non-negative integers:

faktorial9
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10.For which positive integer x stands:

faktorial10
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