NOTE: IS STUDYING \"DISCRETE MATHEMATICS FOR COMPUTER SCIENCE\" ABOUT PERMUATION

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NOTE: IS STUDYING "DISCRETE MATHEMATICS FOR COMPUTER SCIENCE" ABOUT PERMUATION AND COMBINATION, AND WANT TO SEE THE WORK OF THE ANSWERS

Question 6 A box has 6 blue socks and 4 white socks. Each of the socks is distinguishable. Find the number of ways two socks can be drawn from the box at the same where: (a) There are no restrictions. 34 instructure.com/courses/34322/quizzes/133270?module item id-1436866 roblems: CS262-35197 Discrete Structures (b) They are different colors. 45 (c) They are the same color 678 Answer 1: 34 Answer 2: 45 Answer 3: 678

Explanation / Answer

Answer 1: 45 because there is no restriction so number of ways is 10C2 i.e. equals to 45.

Answer 2: 24 because both the socks must be of different colors so number of ways is 6C1 * 4C1 = 24.

Answer 3: 21 because both the socks must be of same color so number of ways is 6C2 + 6C2 = 21.

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