Problem 1AYP: 0!= ; 1!= . (p. 642) Problem 2AYP: True or False n!= ( n+1 )! n . (p. 642) Problem 3CV: A(n) __________ is an ordered arrangement of r objects chosen from n objects. Problem 4CV: A(n) ___________ is an arrangement of r objects chosen from n distinct objects, without repetition... Problem 5CV: P( n,r )= __________________. Problem 6CV: C( n,r )= _______________________. Problem 7SB: In Problems 7-14, find the value of each permutation. P( 6,2 ) Problem 8SB: In Problems 7-14, find the value of each permutation. P( 7,2 ) Problem 9SB: In Problems 7-14, find the value of each permutation. P( 4,4 ) Problem 10SB: In Problems 7-14, find the value of each permutation. P( 8,8 ) Problem 11SB: In Problems 7-14, find the value of each permutation. P( 7,0 ) Problem 12SB: In Problems 7-14, find the value of each permutation. P( 9,0 ) Problem 13SB: In Problems 7-14, find the value of each permutation. P( 8,4 ) Problem 14SB: In Problems 7-14, find the value of each permutation. P( 8,3 ) Problem 15SB: In Problems 15-22, use formula (2) to find the value of each combination. C( 8,2 ) Problem 16SB: In Problems 15-22, use formula (2) to find the value of each combination. C( 8,6 ) Problem 17SB: In Problems 15-22, use formula (2) to find the value of each combination. C( 7,4 ) Problem 18SB: In Problems 15-22, use formula (2) to find the value of each combination. C( 6,2 ) Problem 19SB: In Problems 15-22, use formula (2) to find the value of each combination. C( 15,15 ) Problem 20SB: In Problems 15-22, use formula (2) to find the value of each combination. C( 18,1 ) Problem 21SB: In Problems 15-22, use formula (2) to find the value of each combination. C( 26,13 ) Problem 22SB: In Problems 15-22, use formula (2) to find the value of each combination. C( 18,9 ) Problem 23AE: List all the ordered arrangements of 5 objects a , b , c , d , and e choosing 3 at a time without... Problem 24AE: List all the ordered arrangements of 5 objects a , b , c , d , and e choosing 2 at a time without... Problem 25AE: List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without... Problem 26AE: List all the ordered arrangements of 6 objects 1, 2, 3, 4, 5, and 6 choosing 3 at a time without... Problem 27AE: List all the combinations of 5 objects a , b , c , d , and e taken 3 at a time. What is C( 5,3 ) ? Problem 28AE: List all the combinationss of 5 objects a , b , c , d , and e taken 2 at a time. What is C( 5,2 ) ? Problem 29AE: List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C( 4,3 ) ? Problem 30AE: 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 31AE: Forming Codes How many two-letter codes can be formed using the letters A , B , C , and D ? Repeated... Problem 32AE: Forming Codes How many two-letter codes can be formed using the letters A , B , C , D , and E ?... Problem 33AE: Forming Numbers How many three-digit numbers can be formed using the digits 0 and 1? Repeated digits... Problem 34AE: Forming Numbers How many three-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7,... Problem 35AE: Lining People Up In how many ways can 4 people be lined up? Problem 36AE: Stacking Boxes In how many ways can 5 different boxes be stacked? Problem 37AE: Forming Codes How many different three-letter codes are there if only the letters A , B , C , D ,... Problem 38AE: Forming Codes How many different four-letter codes are there if only the letters A , B , C , D , E ,... Problem 39AE: Stocks on the NYSE Companies whose stocks are listed on the New York Stock Exchange (NYSE) have... Problem 40AE: Stocks on the NASDAQ Companies whose stocks are listed on the NASDAQ stock exchange have their... Problem 41AE: Establishing Committees In how many ways can a committee of 4 students be formed from a pool of 7... Problem 42AE: Establishing Committees In how many ways can a committee of 3 professors be formed from a department... Problem 43AE: Possible Answers on a True/False Test How many arrangements of answers are possible for a true/false... Problem 44AE: Possible Answers on a Multiple-choice Test How many arrangements of answers are possible in a... Problem 45AE: Arranging Books Five different mathematics books are to be arranged on a students desk. How many... Problem 46AE: Forming License Plate Numbers How many different license plate numbers can be made using 2 letters... Problem 47AE: Birthday Problem In how many ways can 2 people each have different birthdays? Assume that there are... Problem 48AE: Birthday Problem In how many ways can 5 people all have different birthdays? Assume that there are... Problem 49AE: Forming a Committee A student dance committee is to be formed consisting of 2 boys and 3 girls. If... Problem 50AE: Forming a Committee The student relations committee of a college consists of 2 administrators, 3... Problem 51AE: Forming Words How many different 9-letter words (real or imaginary) can be formed from the letters... Problem 52AE: Forming Words How many different 11-letter words (real or imaginary) can be formed from the letters... Problem 53AE: Selecting Objects An urn contains 7 white balls and 3 red balls. Three balls are selected. In how... Problem 54AE: Selecting Objects An urn contains 15 red balls and 10 white balls. Five balls are selected. In how... Problem 55AE: Senate Committees The U.S. Senate has 100 members. Suppose that it is desired to place each senator... Problem 56AE: Football Teams A defensive football squad consists of 25 players. Of these, 10 are linemen, 10 are... Problem 57AE: Baseball In the American Baseball League, a designated hitter may be used. How many batting orders... Problem 58AE: Baseball In the National Baseball League, the pitcher usually bats ninth. If this is the case, how... Problem 59AE: Baseball Teams A baseball team has 15 members. Four of the players are pitchers, and the remaining... Problem 60AE: World Series In the World Series the American League team (A) and the National League team (N) play... Problem 61AE: Basketball Teams A basketball team has 6 players who play guard (2 of 5 starting positions). How... Problem 62AE: Basketball Teams On a basketball team of 12 players, 2 play only center, 3 play only guard, and the... Problem 63AE: Combination Locks A combination lock displays 50 numbers. To open it, you turn clockwise to the... Problem 64DW: Create a problem different from any found in the text that requires a permutation to solve. Give it... Problem 65DW: Create a problem different from any found in the text that requires a combination to solve. Give it... Problem 66DW: Explain the difference between a permutation and a combination. Give an example to illustrate your... Problem 67RYK: Problems 67-70 are based on material learned earlier in the course. The purpose of these problems is... Problem 68RYK: Problems 67-70 are based on material learned earlier in the course. The purpose of these problems is... Problem 69RYK: Problems 67-70 are based on material learned earlier in the course. The purpose of these problems is... Problem 70RYK: Problems 67-70 are based on material learned earlier in the course. The purpose of these problems is... format_list_bulleted