How many ways can 3 people sit in 3 seats in a row?

How many ways can 3 people sit in 3 seats in a row?

6 different ways
So there are two answers: There are 3! = 6 different ways of placing these three people in three distinct chairs.

How many ways can 3 people be seated in a row of 5 seats?

There are (53)=10 ways of picking 3 seats from 5, and there are 3! =6 ways to assign the kids to those 3 seats once you’ve picked them. So using the multiplication principle, there are 10⋅6=60 ways to assign the kids to seats.

How many ways can 4 people sit in 3 chairs?

24 possible ways
Answer. or 24 possible ways to fill the three chairs. Okay, okay! The main distinction between this example and the first example on this page is that the first example involves arranging all 4 people, whereas this example involves leaving one person out and arranging just 3 of the 4 people.

How many ways are there to seat six boys and two girls in a row of chairs so that two girls are separated?

× 2!= 6×15×24×2=4320 ways.

How many ways you can place students in 4 chairs?

Look at it this way: how many ways are there to assign 3 of 4 seats, where order matters? The answer is 4P3 = 24.

How many ways are there to seat 2 people on 4 chairs?

The 2nd person can ALSO sit in any of 4 chairs for each choice made by the 1st person. 4 x 4 = 16. BUT of these 16 combinations, 4 have both people in the same chair. so 16-4 = 12.

How many possible ways can 3 people can be seated in a row?

We have to use permutations here to find the number of different ways in which they can be seated. Hence, 3 people can sit in 210 different ways in 7 seats.

How many different ways can 3 people sit?

Once that person is seated, the next person has two choices of seats, and so on. Thus, there are 3•2•1 = 6 different ways the three people can be seated. The number of arrangements is written as 3! (3 factorial) and indicates a permutation of three people taken three at a time.

How many ways can you seat 4 people?

1st person can be seated in 6 ways , 2nd person in 5 ways, 3rd person in 4 ways and 4th person in 3 ways. Required number of ways =(6×5×4×3)=360.

How many ways can you seat 6 people in a row?

720 ways
Answer and Explanation: There are 720 ways to seat 6 people in a row.

How many ways 5 boys and 4 girls can sit to in a row in such a way that the girls occupy the even places?

so to get the total number of boys and girls arrangements together we would need to multiply the arrangements of both boys and girls. so the desired answer would be: 5!* 4! = 120*24 = 2880 ways.

How many ways can 3 people sit in a circle?

two ways
It happens that there are only two ways we can seat three people in a circle. This kind of permutation is called a circular permutation. In such cases, no matter where the first person sits, the permutation is not affected. Each person can shift as many places as they like, and the permutation will not be changed.

How many ways can you sit in your row of 3 seats?

The number of ways for the boys to sit in their row of 3 seats is 3! and the number of ways for the girls to sit in their row of 3 seats is also 3!. ( 2 1) ∗ ( 3!) ∗ 3 (!) = 2 ∗ 6 ∗ 6 = 72.

How many ways can four boys and three girls be seated?

In how many ways can four boys and three girls be seated in a row containing seven seats if they may sit anywhere and if the boys and girls must be seated alternately? The boys must be at places 1,3,5,7. There are 4! ways to place them. The girls are at places 2,4,6. there are 3! ways to place them.

What are the chances of the next seat being a girl?

Seat one has a girl. We now have 3 boys and 2 girls left. The chances of the next seat (2) being a boy is 3/5 or 60\% or .6. If this happens we then have 2 girls and 2 boys left. The chances of the next seat (3) being a girl is 2/4 or 50\% or .5. If this happens we then have 1 girl and 2 boys left.

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