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38% Wed 3:45 PM a E Chrome File Edit View History Bookmarks People Window Help Homework 14 Math 141 (Sect. x c Statistics and Probability ques X Emelie C Secure https:// 15580413 www.webassign.net/web/Student/Assignment-Responses/submit?dep 6. 0.5/1 points. I Previous Answers Tan Fin 0 6.4.053, 1/6 Submissions Used My Notes At a college library exhibition of faculty publications, three mathematics books, three social science books, and two biology books will be displayed on a shelf. (Assume that none of the books are alike.) (a) In how many ways can the eight books be arranged on the shelf? 40320 ways (b) In how many ways can the eight books be arranged on the shelf if books on the same subject matter are placed together? X ways 7. 0/1 points I Previous Answers TanFin10 6.4.067. 2/6 Submissions Used My Notes A student planning her curriculum for the upcoming year must select one of six business courses, one of two mathematics courses, two of twelve elective courses, and either one of two history courses or one of three social science courses. How many different curricula are available for her consideration? 402 X different curricula 8. 1/1 points. I Previous Answers 6 Submissions Used My Notes Find the number of distinguishable arrangements of each of the following "words." (a) acdghbenks 3628800 (b baaaaabenk 5120Explanation / Answer
6)
3 mathematics ,3 social science books,two biology books
a)no of ways in which eight books can be arranged = 8! = 40320
b)no of ways in which eight books can be arranged such that each subject is together
= (3!)(2!)(3!)(3!) = 6*2*6*6 = 432
7)
one of 6 bussiness courses, one of two maths courses,two of 12 electuve courses and either one of 2 history courses or one of 3 social courses
no of diffreent circula = 6*2*(12C2)*(2+3) = 3960
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