How many ways can 6 people be arranged in a straight line?
720 ways
We have to arrange 6 people in line. Now, the number of ways to arrange n items is n!. Hence, the answer is 6! = 720 ways.
How many ways can you arrange 6 people?
The number of all the possible ways to arrange 6 people is P(6,6). Remove the ways that bride is next to the groom, which is 5 × 2 × P(4,4) ways. So, there are P(6,6) − 5 × 2 × P(4,4) = 480 ways.
How many ways can 6 kids line up?
Once position 1 is filled, 6 students can be placed in position 2. With positions 1 and 2 filled, 5 can be placed in position 3, et cetera, up until only one student may be placed in the last position. Thus, multiplying our numbers of options together, we get 7⋅6⋅5⋅4⋅3⋅2⋅1=5040 .
How many ways can you arrange people in a line?
Part I: Without restrictions, 6 persons can line up in 6! = 6*5*4*3*2*1 = 720 ways.
How many ways can 6 students be arranged in a line at the door?
EXAMPLE 2: How many ways can you line up 6 students? 720. There are 6 choices for the first position, 5 for the second, 4 for the third, 3 for the fourth, 2 for the fifth, and 1 for the sixth.
How many different ways can 6 People stand in line at a grocery store?
In each of these 9 positions, at most 2 women are allowed so that no 3 women stand next to each other. Then: there are [9!/5! 4!]
How many ways can 6 people be seated on 6 chairs?
With no restriction, 6 people can be seated 6!= 720 ways.
How many combinations can 6 people have?
Such question has an answer 15 because first member is chosen from 6 people (so there are 6 possibilities), the second person is chosen from remaining five people so the number is 6⋅5=30 , but you have to divide the result by 2 because 2 people can be chosen in 2 ways but they still form the same team.
How many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each other?
−2⋅5! =4⋅5! =480 ways of arranging the candidates so that a and b are not next to each other.
How many different ways can 3 people be arranged in a line?
We have already determined that they can be seated in a straight line in 3! or 6 ways. Our next problem is to see how many ways these people can be seated in a circle.
How many different ways can 6 students sit in the chairs?
The formula for permutations directly gives the answer (# of ways the students can be arranged in the chairs), and we just need to use n=21 and r=6. Use a calculator for permutations: “P(21,6)” or “21 nPr 6” which will give the answer 39070080.
How many ways 6 students can sit on 6 chairs placed in a row?
Answer and Explanation: There are 720 ways to seat 6 people in a row.
How many ways can 6 people line up in 6?
The number of ways the 6 persons can line up with 2 particular persons not adjacent is equal to the number of ways the 6 persons can line up without restrictions (i.e., 720) minus t Without restrictions, 6 persons can line up in 6! = 6*5*4*3*2*1 = 720 ways.
How many students can sit in a line of 6?
Answer = 480. 6 students can sit in a line in 6!=720 ways. Then there are 2*5!=240 ways for them to sit in a line such that the two students DO sit together (2 because they can sit next to each other as either AB or BA, then 5! because the pair of them with the 4 other students makes for 5 “items” to arrange). 720–240=480.
How many ways can you arrange 6 people in 8 c6?
Our first task is to choose 6 people from a group of 8. This is a combination of 6 people from the given 8 people. So, this can be done in 8 C 6 = 28 ways. After choosing 6 people from the group of 8, our next task is to arrange those 6 people in a straight line.
How many ways are there to take the first two places?
This is because there are 8 ways to fill the first place leaving 7 ways to fill the second place, so there are 8*7 ways to take first two places. Once they are taken, we have 6 candidates to take the third place. And so on until all six places are taken.