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6 people multiplied by 6 different chairs meaning there are a total of 36 different combinations because each chair has 6 different combinations.
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Rafaelrz.
If you have 6 chairs in a row, and 6 persons are going to be seated in those chairs,
the number of different arrangements (permutations) the 6 people can be seated
is 6! (six factorial):
6! = 6x5x4x3x2x1 = 720
i.e.,
The first person to sit has 6 options. For each option of the first person the second
has 5 options. For each option of the second person the third has 4 options. And so
on.
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How many different seating arrangements are possible for 6 people in 4 chairs?
Her is the order matters, then it is P(6,4)= 6*5=30.
How many chairs can fit around an 96-inch table?
Well, honey, it's simple math. If we assume each person needs about 24 inches of space, you can fit about 4 chairs on each side of that 96-inch table. So, that's a total of 8 chairs around the table. But hey, if you want to squeeze in a couple more, just make sure your guests are okay with some cozy seating arrangements!
How many ways can two women and a man sit in a row of five empty chairs if the two women have to sit next to each other?
If the first woman sits at an end, there is only the seat next to her where the second woman can sit. There are 2 such chairs, giving 2 × 1 = 2 possible sittings. If the first woman doesn't sit at the end, the second woman can sit either side of her in one of 2 chairs. There are 5 - 2 = 3 such chairs, giving, 2 × 3 = 6 possible sittings. Thus there are 2 + 6 = 8 possible sitting positions of the women. For each of these there are 3 empty chairs which the man can occupy, Thus there are 8 × 3 = 24 possible ways that 2 women and 1 man can sit on a row of 5 empty chairs if the two women must sit together.
What is the probability that 4 persons can sit in 4 different chairs?
4 x 4 = 16
How many chairs will be 1 part out of 2 for this collection of chairs?
78
How many different seating arrangements are possible for 6 people in 4 chairs?
Her is the order matters, then it is P(6,4)= 6*5=30.
How many different ways can 5 people be sat in 4 chairs?
Five people cannot be sat in four chairs. There will be one person left over that does not have a chair. That said, there are 120 different seating arrangements, 5 x 4 x 3 x 2, each including one person standing. Of course, you could always have someone sit on another person's lap, and if you did that, the number of seating arrangements would be 480.
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