Problem 1AYU: 0!= ; 1!= . (p. 642) Problem 2AYU: True or False n!= ( n+1 )! n . (p. 642) Problem 3AYU: A(n) __________ is an ordered arrangement of r objects chosen from n objects. Problem 4AYU: A(n) ___________ is an arrangement of r objects chosen from n distinct objects, without repetition... Problem 5AYU: P( n,r )= __________________. Problem 6AYU: C( n,r )= _______________________. Problem 7AYU: In Problems 7-14, find the value of each permutation. P( 6,2 ) Problem 8AYU: In Problems 7-14, find the value of each permutation. P( 7,2 ) Problem 9AYU: In Problems 7-14, find the value of each permutation. P( 4,4 ) Problem 10AYU: In Problems 7-14, find the value of each permutation. P( 8,8 ) Problem 11AYU: In Problems 7-14, find the value of each permutation. P( 7,0 ) Problem 12AYU: In Problems 7-14, find the value of each permutation. P( 9,0 ) Problem 13AYU: In Problems 7-14, find the value of each permutation. P( 8,4 ) Problem 14AYU: In Problems 7-14, find the value of each permutation. P( 8,3 ) Problem 15AYU: In Problems 15-22, use formula (2) to find the value of each combination. C( 8,2 ) Problem 16AYU: In Problems 15-22, use formula (2) to find the value of each combination. C( 8,6 ) Problem 17AYU: In Problems 15-22, use formula (2) to find the value of each combination. C( 7,4 ) Problem 18AYU: In Problems 15-22, use formula (2) to find the value of each combination. C( 6,2 ) Problem 19AYU: In Problems 15-22, use formula (2) to find the value of each combination. C( 15,15 ) Problem 20AYU: In Problems 15-22, use formula (2) to find the value of each combination. C( 18,1 ) Problem 21AYU: In Problems 15-22, use formula (2) to find the value of each combination. C( 26,13 ) Problem 22AYU: In Problems 15-22, use formula (2) to find the value of each combination. C( 18,9 ) Problem 23AYU: List all the ordered arrangements of 5 objects a , b , c , d , and e choosing 3 at a time without... Problem 24AYU: List all the ordered arrangements of 5 objects a , b , c , d , and e choosing 2 at a time without... Problem 25AYU: List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without... Problem 26AYU: List all the ordered arrangements of 6 objects 1, 2, 3, 4, 5, and 6 choosing 3 at a time without... Problem 27AYU: List all the combinations of 5 objects a , b , c , d , and e taken 3 at a time. What is C( 5,3 ) ? Problem 28AYU: List all the combinationss of 5 objects a , b , c , d , and e taken 2 at a time. What is C( 5,2 ) ? Problem 29AYU: List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C( 4,3 ) ? Problem 30AYU: List all the combinationss of 6 objects 1, 2, 3, 4, 5, and 6 taken 3 at a time. What is C( 6,3 ) ? Problem 31AYU: Forming Codes How many two-letter codes can be formed using the letters A , B , C , and D ? Repeated... Problem 32AYU: Forming Codes How many two-letter codes can be formed using the letters A , B , C , D , and E ?... Problem 33AYU: Forming Numbers How many three-digit numbers can be formed using the digits 0 and 1? Repeated digits... Problem 34AYU: Forming Numbers How many three-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7,... Problem 35AYU: Lining People Up In how many ways can 4 people be lined up? Problem 36AYU: Stacking Boxes In how many ways can 5 different boxes be stacked? Problem 37AYU: Forming Codes How many different three-letter codes are there if only the letters A , B , C , D ,... Problem 38AYU: Forming Codes How many different four-letter codes are there if only the letters A , B , C , D , E ,... Problem 39AYU: Stocks on the NYSE Companies whose stocks are listed on the New York Stock Exchange (NYSE) have... Problem 40AYU: Stocks on the NASDAQ Companies whose stocks are listed on the NASDAQ stock exchange have their... Problem 41AYU: Establishing Committees In how many ways can a committee of 4 students be formed from a pool of 7... Problem 42AYU: Establishing Committees In how many ways can a committee of 3 professors be formed from a department... Problem 43AYU: Possible Answers on a True/False Test How many arrangements of answers are possible for a true/false... Problem 44AYU: Possible Answers on a Multiple-choice Test How many arrangements of answers are possible in a... Problem 45AYU: Arranging Books Five different mathematics books are to be arranged on a students desk. How many... Problem 46AYU: Forming License Plate Numbers How many different license plate numbers can be made using 2 letters... Problem 47AYU: Birthday Problem In how many ways can 2 people each have different birthdays? Assume that there are... Problem 48AYU: Birthday Problem In how many ways can 5 people all have different birthdays? Assume that there are... Problem 49AYU: Forming a Committee A student dance committee is to be formed consisting of 2 boys and 3 girls. If... Problem 50AYU: Forming a Committee The student relations committee of a college consists of 2 administrators, 3... Problem 51AYU: Forming Words How many different 9-letter words (real or imaginary) can be formed from the letters... Problem 52AYU: Forming Words How many different 11-letter words (real or imaginary) can be formed from the letters... Problem 53AYU: Selecting Objects An urn contains 7 white balls and 3 red balls. Three balls are selected. In how... Problem 54AYU: Selecting Objects An urn contains 15 red balls and 10 white balls. Five balls are selected. In how... Problem 55AYU: Senate Committees The U.S. Senate has 100 members. Suppose that it is desired to place each senator... Problem 56AYU: Football Teams A defensive football squad consists of 25 players. Of these, 10 are linemen, 10 are... Problem 57AYU: Baseball In the American Baseball League, a designated hitter may be used. How many batting orders... Problem 58AYU: Baseball In the National Baseball League, the pitcher usually bats ninth. If this is the case, how... Problem 59AYU: Baseball Teams A baseball team has 15 members. Four of the players are pitchers, and the remaining... Problem 60AYU: World Series In the World Series the American League team (A) and the National League team (N) play... Problem 61AYU: Basketball Teams A basketball team has 6 players who play guard (2 of 5 starting positions). How... Problem 62AYU: Basketball Teams On a basketball team of 12 players, 2 play only center, 3 play only guard, and the... Problem 63AYU: Combination Locks A combination lock displays 50 numbers. To open it, you turn clockwise to the... Problem 64AYU: Create a problem different from any found in the text that requires a permutation to solve. Give it... Problem 65AYU: Create a problem different from any found in the text that requires a combination to solve. Give it... Problem 66AYU: Explain the difference between a permutation and a combination. Give an example to illustrate your... format_list_bulleted