Q in permutations and Combinations

r-soy
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Q in permutations and Combinations



Out of a standerd 52 - card deck . how many 6-card will hearts and 2 clube ?



my answer :



13 C 4 X 13 C 2



= 715 X 78 = 55.770



this is my answer please help me ...
 
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Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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