3. (a) If we have a bag of 14 pairs of socks, how many socks do we need to draw to ensure weget a matched pair?(b) How many times must we roll a six sided die in order to get the same score at leasttwice? What about at least three times? And at least four times?(c) Prove that a selection of 7 numbers from the set {1, 2, ..., 11} contains numbers m andn such that m + n = 12.(Hint: create boxes consisting of pairs that sum to 12.)

Answered: Image /qna-images/answer/03da7444-94ca-4313-b35f-e26dfe841f4a.jpg

Answered: (a) If we have a bag of 14 pairs of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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in a rugby match, a tie at the end of two overtime. Leads to a shoot out with five cakes taken by each team from the center of the 22 m line. Each kid must be taken by a different player. How many ways can five players be selected from the 15 eligible players for the five selected players how many ways can they be designated as first, second, third, fourth, and fifth? 5 players can be selected from the 15 eligible players in ___ different ways. Out of those 5 players that are selected, they can be designated at first, second, third, fourth, and fifth in ____ different ways
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