Question 507581
How many different 5-card poker hands can be made from a deck of 52 cards?
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52C5 = 52!/[(52-5)!*5!] = [52*51*50*49*48]/[1*2*3*4*5] = 2598960
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Two equal circles are cut out of a rectangle of dimensions 16 by 8. The circles have the maximum diameter possible. What is the approximate area of the paper remaining after the circles have been cut out?
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Area of the rectangle: 16*8 = 128 sq units
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Area of each circle: (pi)*4^2= 16(pi)
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Area of remaining paper: 128-2*16(pi) = 27.47 sq units