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Try to solve [1–8] using the Sum and Product Rules alone. 1. (1) How many ways...
please write clearly. thanks Part I. For questions 1-10, use only the sum, product and division...
please write clearly. thanks
Part I. For questions 1-10, use only the sum, product and division rules or a tree diagram to solve the problems. 1. Six different airlines fly from New York to Denver and seven fly from Denver to San Francisco. How many different pairs of airlines can you choose on which to book a grip from New York to San Francisco via Denver? 2. How many bit strings of length ten both begin and end with a...
Problem 1. How many ways are there to place 8 rooks on a chess board in such a way that they cannot capture each other? Just in case some of you do not know the rules of chess, this is the same as: h...
Problem 1. How many ways are there to place 8 rooks on a chess board in such a way that they cannot capture each other? Just in case some of you do not know the rules of chess, this is the same as: how many ways can we pick 8 points on an 8x8 grid such that every row and every column has at most one point on it?)
Problem 1. How many ways are there to place 8 rooks...
solve problems and show work 1) In how many ways can a committee of three men...
solve problems and show work
1) In how many ways can a committee of three men and four women be formed from a group of 9 men and 9 women? A) 42 B) 1,524,096 C) 10,584 D) 5040 2) A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee must answer 5 of the multiple-choice questions and 4 of the open-ended problems, in how many ways can the...
1. How many different ways can you have r numbers 1 sum up to a number...
1. How many different ways can you have r numbers 1 sum up to a number n? These are called compositions of a number n and it is easy to calculate from our understanding of binomial coefficients. So the number of compositions of 4 into 3 parts will be 1+1+2, 1+2+1, and 2+1+1. Note how we think of 1+1+2 and 1+2+1 as different-because in the first case, the first number is 1, second is 1 and third is 2, while...
15to25 15.How many ways are there to seat ten people around a circular table where two seatings are considered the s...
15to25
15.How many ways are there to seat ten people around a circular table where two seatings are considered the same when every one has the same immediate left and immediate right neighbor? 16.In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride must be next to the groom? b) the bride is not next to the groom? 17.How many bit strings of length seven...
1. In how many ways can four aces be drawn from a deck of cards? (Order...
1. In how many ways can four aces be drawn from a deck of cards? (Order is not important.) 2. If a family has six children, in how many ways could the parents have four boys and two girls? 3. Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question. 4. A club with 23 members is to select a committee of...
1. How many ways can 4 different contracts be distributed amongst 15 different firms, if any...
1. How many ways can 4 different contracts be distributed amongst 15 different firms, if any one firm can be awarded multiple contracts? ways 2. Let U be the universal set with disjoint subsets A and B, where n(U-46, n(A)-15, and n(B)-14. Find n(An B) 3. Use the symbols A, B, C, U, n, and', as necessary, to describe the shaded region. Choose the correct set below. OA. (Anc)U B ов. В, n (AUC) OC. Bn (AUC) O D. (Auc)'...
1. In how many ways can the U.S. senate select a chairperson, a treasurer, and a...
1. In how many ways can the U.S. senate select a chairperson, a treasurer, and a secretary of a committee if all the senators are eligible for selection and no two senators from the same state can be selected together? (Hint: Remember from your Civics class that there are 100 senators in the U.S. senate – two per state!) 2. In a batch of 100 CDs, 6 are defective. A sample of three CDs is to be selected at random....
1. A state legislature consists of 7 Democrats, 4 Republicans, and 8 Independents. How many ways...
1. A state legislature consists of 7 Democrats, 4 Republicans, and 8 Independents. How many ways are there to choose: a. A committee of 5 legislators? b. A speaker, a vice-speaker, and a sergeant at arms? c. A committee of 6 legislators where 2 are Republicans, and 2 are Democrats, and 2 are Independents? d. A committee of 5 legislators, with no Independents? 2. A "2 for $20" meal deal at a local restaurant allows you to pick 1 appetizer...
How many ways are there to select 8 donuts from 6 types of donuts if at...
How many ways are there to select 8 donuts from 6 types of donuts if at most 3 donuts are chosen from the first two types combined; that is, at least 5 donuts chosen from the other four types. (Hint: break into cases) answer: break into 4 cases for 0 or 1 or 2 or 3 in first two boxes sum for i from 0 to 3 {C(2+i-1,i)xC(4+(8-i)-1,(8-i))};
please write clearly. thanks
Part I. For questions 1-10, use only the sum, product and division rules or a tree diagram to solve the problems. 1. Six different airlines fly from New York to Denver and seven fly from Denver to San Francisco. How many different pairs of airlines can you choose on which to book a grip from New York to San Francisco via Denver? 2. How many bit strings of length ten both begin and end with a...
Problem 1. How many ways are there to place 8 rooks on a chess board in such a way that they cannot capture each other? Just in case some of you do not know the rules of chess, this is the same as: how many ways can we pick 8 points on an 8x8 grid such that every row and every column has at most one point on it?)
Problem 1. How many ways are there to place 8 rooks...
solve problems and show work
1) In how many ways can a committee of three men and four women be formed from a group of 9 men and 9 women? A) 42 B) 1,524,096 C) 10,584 D) 5040 2) A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee must answer 5 of the multiple-choice questions and 4 of the open-ended problems, in how many ways can the...
1. How many different ways can you have r numbers 1 sum up to a number n? These are called compositions of a number n and it is easy to calculate from our understanding of binomial coefficients. So the number of compositions of 4 into 3 parts will be 1+1+2, 1+2+1, and 2+1+1. Note how we think of 1+1+2 and 1+2+1 as different-because in the first case, the first number is 1, second is 1 and third is 2, while...
15to25
15.How many ways are there to seat ten people around a circular table where two seatings are considered the same when every one has the same immediate left and immediate right neighbor? 16.In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride must be next to the groom? b) the bride is not next to the groom? 17.How many bit strings of length seven...
1. How many ways can 4 different contracts be distributed amongst 15 different firms, if any one firm can be awarded multiple contracts? ways 2. Let U be the universal set with disjoint subsets A and B, where n(U-46, n(A)-15, and n(B)-14. Find n(An B) 3. Use the symbols A, B, C, U, n, and', as necessary, to describe the shaded region. Choose the correct set below. OA. (Anc)U B ов. В, n (AUC) OC. Bn (AUC) O D. (Auc)'...
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