How many ways can 5 people be arranged in a straight line?
Table of Contents
- 1 How many ways can 5 people be arranged in a straight line?
- 2 How many ways can 4 persons be arranged in a straight line?
- 3 How many ways can you arrange four letters?
- 4 How many ways can you line up a family of 6 for a picture?
- 5 What is the total number of arrangements of 6 children?
- 6 How many ways are there to take the first two places?
How many ways can 5 people be arranged in a straight line?
Ordinarily, we’d seat 5 people in 5! =120 ways.
How many ways can 4 persons be arranged in a straight line?
A group of 4 people are standing in a straight line. In how many different ways can these people be standing on the line? The answer is 24.
How many ways in which 8 students can be stated in a line is?
40320
(i) The number of ways in which 8 students can be arranged in a line =8! =(8×7×6×5×4×3×2×1)=40320.
How many ways can 7 people be chosen?
So there are 5040 ways of arranging seven people in a row of seven chairs.
How many ways can you arrange four letters?
24
The answer is 4! = 24. The first space can be filled by any one of the four letters.
How many ways can you line up a family of 6 for a picture?
720 ways
Hence, the answer is 6! = 720 ways.
How many ways can you arrange 6 people in a straight line?
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. This calls for a permutation of 6 people (in 6 places). And this can be done in 6! = 720 ways.
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.
What is the total number of arrangements of 6 children?
(ii) The total number of arrangements of 6 children will be 6!, i.e. 720 ways. Out of the total arrangement, we know that two particular children when together can be arranged in 240 ways. Therefore, total arrangement of children in which two particular children are never together will be 720 – 240 ways, i.e. 480 ways.
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.