Mathematics, 29.11.2019 02:31 bob7220

Four married couples have reserved eight seats in a row at the theater. if they arrange themselves randomly, what is the probability that all the women will sit in adjacent seats and all the men will sit in adjacent seats?

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Answer from: sighgabbie

The required probability is 2.86%.

Step-by-step explanation:

The number of ways in which eight persons can sit within themselves at the reserved eight seats is given by

N=8!.

And, the number of ways in which 4 couples (8 persons) can sit such that all the women will sit in adjacent seats and all the men will sit in adjacent seats is given by

$n=4!\times4!\times2!.$

Therefore, the probability that all the women will sit in adjacent seats and all the men will sit in adjacent seats is

$p=\dfrac{n}{N}=\dfrac{4!\times4!\times2!}{8!}=\dfrac{4\times3\times2\times1\times4!\times2\times1}{8\times7\times6\times5\times4!}=\dfrac{1}{35}=2.86\%.$

Thus, the required probability is 2.86%.

Answer from: Quest

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

Answer from: Quest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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