Q. How many ways can 10 people wait in line?
20,274,200 combinations
Q. How many ways can 10 people?
10*9*8*7=5,040 ANS.
Q. How many ways can 5 people lined up to get on a train?
1 Expert Answer Since there are only 4 left, there are only 4 people who could be chosen. So the total number of different orderings for the 1st and 2nd people combined would be 5*4 = 20.
Q. How many ways can 5 persons line up to get on a bus?
120 different ways
Q. How many ways are there to line up 6 people?
and total no of ways in which 6 people can be seated =(6-1)!= 120 ways.. hence answer= 120=12 = 108 ways.
Q. How many ways are there to arrange 6 people in a line up?
720 ways
Q. How many ways can 6 people arrange themselves in a row for a picture taking?
The total number of ways to arrange 6 people is 6!, which is said 6 factorial and means 6 times 5 times 4 times 3 times two times one. 6(5)=30, 30(4)=120, 120(3)=360, 360(2)=720 and 720(1)=720. So there are 720 different ways to arrange six people.
Q. How many different ways can 7 runners come in 1st 2nd and 3rd place?
210 different ways
Q. How many ways can the top 3 winners be selected?
455 ways
Q. How many ways can 1st 2nd AND 3rd be awarded?
720 different ways
Q. How many ways 10 persons can be arranged such that 3 are never together?
Now the three people who are grouped together can rearrange among themselves . Hence 10 persons can be arranged such that 3 are always together in 241920 ways.
Q. How many ways can 10 differently colored?
Answer. Hence, 3628800 combinations are possible.
Q. How many different ways can 5?
Answer: If the symmetry of the table is not taken into account the number of possibilities is 5! = 120. In this case it would be the same as ordering people on a line. However if rotation symmetry is taken into account, there are five ways for people to sit at the table which are just rotations of each other.
Q. How many distinct ways are there to arrange 3 clear marbles?
8 possibilities
Q. How many ways can the letters of the word marbles be arranged?
First, since there are 5 marbles, we know there are 120 permutations, if we don’t worry about repetitions.
Q. How many ways can 5 friends arrange themselves in a row for taking pictures?
120 ways
Q. How many ways can 6 boys and 6 girls be seated at a round table if 4 particular girls must sit together?
120 ways.. hence answer= 120=12 = 108 ways.
