A man has 2 pennies, 3 nickels, 1 dime and 2 quarters. How many different sums of money can he make using one or more of these 8 coins? A) 8 B) 12 C) 47 D) 77
n!/(n1! n2! n3! ... nk!) i believe so
8! --------- 2! 3! 1! 2!
What are the exclamation points for though?
8.7.6.5.4.3.2.1 -------------- 2.1.3.2.1.1.2.1 8.7.6.5.4.3.2 ------------ 2.3.2.2 8.7.6.5 = 56.30 56 30 ---- 1680 .... maybe not lol
its factorial notation; 5! means 5*4*3*2*1
oh
i get a number that is not one of your options, so im a little leary if I remember it correctly
its ok =]
I'm pretty sure it isn't 8 or 12 though.
yeah, those are a bit small ...
I've tried going through it the long way, but I stopped once I realized 77 was a choice.
5 5 5 25 25 1 1 10 8 coin; 77 7 coin; 76 72 67 52 6 coin; 75 71 66 62 42 27 5 coin: 70 65 61 57 50 46 41 26 22 17 1 coin; 1 5 10 25 2 coin; 2 6 11 15 30 35 3 coin; 7 12 20 31 51 60 4 coin; 16 32 36 40 56 i prolly miscounted someplace but I got 42 and thats prolly pretty close
oh.. thank you =]
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