Respuesta :
33,868,800 ways can five men and eight women are seated at a round table if no two men sit together.
No of men = 5
No of women = 8
The total no. of circular permutations or ways to be seated 8 women at a time is (8-1)! =7!
In 8 gaps 5 men can be arranged in 8[tex]p_{5}[/tex] ways i.e. 8! / (8-5)! =8! /3!
Total no. of ways = 7! × 8! /3! =5040×[tex]\frac{40320}{6}[/tex] =33,868,800 ways.
A permutation is an act of arranging objects or numbers in order. combos are the manner of choosing objects or numbers from a group of items or collections, in one way that the order of the items does not matter. A permutation is a technique of arranging all the participants in the order. The mixture is an expansion of factors from a collection.
permutation relates to the act of arranging all of the members of a hard and fast into a few series or orders. In different words, if the set is already ordered, then the rearranging of its factors is known as the technique of permuting. The mixture is a way of selecting gadgets from a collection, such that (not like variations) the order of selection does not remember. A permutation is used for the listing of facts (in which the order of the information matters) and the aggregate is used for a set of facts (wherein the order of records doesn’t count).
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