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Her is the order matters, then it is P(6,4)= 6*5=30.

Q: How many different seating arrangements are possible for 6 people in 4 chairs?

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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. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 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.

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.

4 x 4 = 16

78

yeA put the chairs in a pool

Related questions

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.

6 people multiplied by 6 different chairs meaning there are a total of 36 different combinations because each chair has 6 different combinations. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 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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