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c e Secure https://www.mathxl.com/Student PlayerHomework.aspx?hom e orkide440994462&questionid.; Math 1300 FS2017 Emily Hallowell 11/13/174:40 PM Homework: Homework 10 Score: 0 of 1 pt 40124 (12 complete) MN Score: 45.83%, 11 of 24 pts 6.3.41 Question Help * A man, a woman, and their four each other? children randomly stand in a row for a family picture What is the probability that the parents will be standing next to The probablity that the parents wil be standing next to each other is (Type an integer or a simplfied fraction.) Enter your arswer in the answer box and then click Check Answer All parts showing Clear Al 0 eturn

Explanation / Answer

SOLUTION :

Assume,

M = Man ; W = Woman ; A, B, C = Children

Suppose, they sit like MWABC in this manner, then

You have 5 "units", so the possible permutations is 5 ! .

Then, if you take the parents (M & W) as one unit K, you will have KABC, and the number of permutations in K is 2! (MW, WM) . Then, the permutations in KABC is 2! 4! , and dividing by the sample space 5! gives you :

(2! 4!) / (5!) = 0.4 = 40 %

The probability that the parents will be standing next to each other is, 40 %

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