Q: How many different ways can 5 people stand in a line?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

36

5040

Not sure what a strait line is! Five people can stand in a straight line, with Jessie third in 24 ways if you ignore left-to-right and right-to-left "reflections".

420

There are 7 people who could stand first, with 6 people who could stand second for each of those first people, with 5 people who could stand third for each of those first two people, and so on, until with 1 person left who could stand seventh for each of the first six people. This gives 7 × 6 × 5 × ... × 1 = 5040 ways.

Related questions

36

There are n! (n factorial) ways that n people can stand in line. So six people can stand in line in: 1*2*3*4*5*6 = 720 different ways

If the people are always facing forward? 24 ways.

Assuming you mean the order in which they stand in a line, this is simple combination of three from three, and there are six possible combinations:ABCACBBACBCACABCBA

5040

Not sure what a strait line is! Five people can stand in a straight line, with Jessie third in 24 ways if you ignore left-to-right and right-to-left "reflections".

It usually depends on how many people are there.

420

There are 7 people who could stand first, with 6 people who could stand second for each of those first people, with 5 people who could stand third for each of those first two people, and so on, until with 1 person left who could stand seventh for each of the first six people. This gives 7 × 6 × 5 × ... × 1 = 5040 ways.

3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.

10 people can line up in (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) = 3,628,800 different ways.

120