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Q: What is the probability that 4 persons can sit in 4 different chairs?
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Continue Learning about Math & Arithmetic

What do people sit on?

chairs


How many different seating arrangements are possible with 6 people and 6 chairs?

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.


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.


How many ways can 8 people sit in 5 chairs?

8x7x6x5x4= 6720


There are 4 boys and 3 girls What is the probability the boys and girls sit alternately?

1/35