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In how many ways can 8 people be seated in a row if persons A & B must sit next to each other?
Suppose A and B together make 1 person, say X.
Then, along with 6 other people, there are now 1+6 = 7 people.
These 7 can be arranged in a row in 7P7 = 7! ways.
Also, in the compound person X, therte are 2 arrangements: AB and BA.
Hence, total no. of ways = 2 ( 7! ) = 2( 5040) = 10080. …………Ans.
In how many ways can 8 people be seated in a row if(a) | StudySoup – Possible seating arrangements. Here if we consider B as always in front of A. Then there are also same 7! Option 2 is FMFM FMFM. Hence order within each event or subgroup does not matter, from the above we arranged 4! Ways of the men and 4!how many ways can 8 letters be arranged. How many different ways can five brands of sodas be displayed on a shelf one at a time in a row? Assuming that the location of the empty seat makes a difference, the answer is 8! or 8*7*6*5*4*3*2*1 which is 40320.Two people seating together is considered 1 element # of ways of seating 7 people at a round table = (n-1)! = ( 7-1)! = 6! = 720 but for each way of arranging the 7 people there are 2! ways of of arranging the 2 people thus total number of ways = 720*2! =
How many ways can 8 objects be arranged in a row? – Answers – Four married couples bought tickets for eight seats in a row for a football game. a. In how many different ways can they be seated? b. In Question: Repeat the problem below when the seating is random but subject to the constraint that the men and women alternate A total of 2n people…Taking all person of same nationality as one person, then we will have only three people. These three person can be arranged themselves in 3! 4 American can be arranged themselves in 4! Ways.We first treat the two people how have to sit together as 1 item taking up 2 seats so they have 7 possibilities of seats i.e. 12 23 34 45 56 67 For a better understanding of the concept, let us see what will happen if the question was asked when people were to be seated in a row or on a circular table.
in how many ways can 8 people be seated around… – Brainly.ph – 5 single people and and one "pair". That would be (6-1)! or 5! or 120 ways. However, there are two ways the "pair" could sit, A left of B or A right of B. So we double the 120 ways to 240 ways. 120*2 = 240 You then have to find in how many ways they are not sitting next to each other; subtract 240…In how many different ways can six of ten people be seated in a row of six chairs? I don't have the answer, but there are 104 students in class 10th and 96 students in class 9th in a school .in a house examination the students ate to be evenly seated in parallel rows such that no two adjacent rows are……in a row, if(a) there are no restrictions?(b) two certain individuals must sit next to each other?(c) five certain individuals must sit next to each other?Problem 1.11Count the number of distinguishable ways in which you can a row? 3. You've reached the end of your free preview. Want to read all 3 pages?