Question 2 In how many ways can one (a) arrange k people in a row? (b) form a row of 6 people from 10 people? Question 3
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Question 2 In how many ways can one (a) arrange k people in a row? (b) form a row of 6 people from 10 people? Question 3
Question 2 In how many ways can one (a) arrange k people in a row? (b) form a row of 6 people from 10 people? Question 3 In how many ways can you choose (a) as a soccer team (11 players) from 20 people (10 men and 10 women)? (b) and if the team must contain exactly 6 men? (c) and if the team must contain at least 2 men? Question 4 (a) How many "words" (strings) of length 10 are there over an alphabet of 26 letters? (b) How many ways to arrange the letters cabheduld? 1 Open libre Questions ta) You buy 10 cooldrinks. There are 5 types available. How many different selections are possible? (b) And if there is only 1 of type 2 left? (c) And if there is only 1 of types 1 and 2 left? Questions (a) How many numbers with digits 1,2,3,4 of length 10 contain exactly sa 3's? (b) How many contain no 4's? Question 7 ta) What is the probability that boys and girls alternate in a random row arrangement of 3 boys and girls? (b) What is the probability that a random arrangement of a bed has the letter b first? Question 8 (a) Use the pigeonhole principle to show that if you randomly arrange the numbers 1-12 around a square, 3 numbers along each side of the square, that the numbers along at least one of the sides must add up to 20 or more. (b) How many friends must you have to guarantee at least 5 of them will have birthdays in the same month. Use the extended pigeonhole principle.
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