(a) In a game of UNO, there are cards of 4 colors- red, green, blue and yellow. There are 25 cards for each color|1 (there are some special cards, but we will not be considering them now). A player is dealt 7 cards in a round. i Explain why there is no guarantee that a player will get at least 2 red cards. ii How many cards should be picked to ensure that he gets at least 2 red cards?

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Chapter1: Combinatorial Analysis
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5. (a) In a game of UNO, there are cards of 4 colors- red, green, blue and yellow. There are 25 cards for each color[1 + 1 = 2]
(there are some special cards, but we will not be considering them now). A player is dealt 7 cards in a round.
i Explain why there is no guarantee that a player will get at least 2 red cards.
ii How many cards should be picked to ensure that he gets at least 2 red cards?
(b) A coin is tossed 6 times such that every time it can land either on heads or tails. How many possible outcomes
contain an odd number of heads?
[1]
(c) There are n1 computer science courses and ng computer engineering courses available at a certain university.
A student has to select rị courses from computer science courses and r2 courses from computer engineering
courses. If the order of the courses taken are important, then how many ways can a student complete the
[2]
courses?
Transcribed Image Text:5. (a) In a game of UNO, there are cards of 4 colors- red, green, blue and yellow. There are 25 cards for each color[1 + 1 = 2] (there are some special cards, but we will not be considering them now). A player is dealt 7 cards in a round. i Explain why there is no guarantee that a player will get at least 2 red cards. ii How many cards should be picked to ensure that he gets at least 2 red cards? (b) A coin is tossed 6 times such that every time it can land either on heads or tails. How many possible outcomes contain an odd number of heads? [1] (c) There are n1 computer science courses and ng computer engineering courses available at a certain university. A student has to select rị courses from computer science courses and r2 courses from computer engineering courses. If the order of the courses taken are important, then how many ways can a student complete the [2] courses?
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