ECO 3401 Chapter 5.2: ECO 3401 - Module 5.2 Notes

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9 Oct 2017
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In how many ways can a group of 3 or 4 students be selected? (cid:4666)(cid:2872) (cid:2871) (cid:2870) (cid:2869)(cid:4667)(cid:4666)(cid:2874) (cid:2873) (cid:2872) (cid:2871) (cid:2870) (cid:2869)(cid:4667) = 210 combinations: c (10,4) = (cid:2869)(cid:2868)! (cid:4666)(cid:2869)(cid:2868) (cid:2872)(cid:4667)!(cid:2872)! = (cid:2869)(cid:2873) (cid:2869)(cid:2872) (cid:2869)(cid:2871) (cid:2869)(cid:2870) (cid:2869)(cid:2869) (cid:2869)(cid:2868) (cid:2877) (cid:2876) (cid:2875) (cid:2874) (cid:2873) (cid:2872) (cid:2871) (cid:2870) (cid:2869) (cid:4666)(cid:2869)(cid:2870) (cid:2869)(cid:2869) (cid:2869)(cid:2868) (cid:2877) (cid:2876) (cid:2875) (cid:2874) (cid:2873) (cid:2872) (cid:2871) (cid:2870) (cid:2869)(cid:4667)(cid:4666)(cid:2871) (cid:2870) (cid:2869)(cid:4667) = 455: c (15, 4) = (cid:2869)(cid:2873)!(cid:2869)(cid:2869)!(cid:2872)! = (cid:2869)(cid:2873) (cid:2869)(cid:2872) (cid:2869)(cid:2871) (cid:2869)(cid:2870) (cid:2869)(cid:2869) (cid:2869)(cid:2868) (cid:2877) (cid:2876) (cid:2875) (cid:2874) (cid:2873) (cid:2872) (cid:2871) (cid:2870) (cid:2869) (cid:4666)(cid:2869)(cid:2869) (cid:2869)(cid:2868) (cid:2877) (cid:2876) (cid:2875) (cid:2874) (cid:2873) (cid:2872) (cid:2871) (cid:2870) (cid:2869)(cid:4667)(cid:4666)(cid:2872) (cid:2871) (cid:2870) (cid:2869)(cid:4667) = 1,365 combinations combinations: 455 + 1365 = 1,820 different combinations. Part k: permutations and combinations: list all permutations and combinations of the letters a, b, c, and d when they are taken 3 at a time, permutations: order matters. Combinations: order does(cid:374)"t (cid:373)atter: combinations: c (4,3) , permutations: p (4,3) = (cid:2872)! (cid:4666)(cid:2872) (cid:2871)(cid:4667)!= 4!/1!

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