Question

4. + -14 points StatsByLO1 9.18.009.CH. Going into her final semester of college before graduating with a degree in studio art, Abigail must select three art courses and two history courses. (a) If there are 6 art courses remaining from which she can choose, in how many ways can she select three art courses to fulfill her art requirements? There are ways for Abigail to select three art courses. (b) If there are 4 history courses remaining from which she can choose, in how many ways can she select two history courses to fulfill her history requirements? There are 6 ways for Abigail to select two history courses. (C) In how many ways can Abigail select three art courses from the 6 available and two history courses from the 4 available? There are ways for Abigail to fulfill both her art and her history requirements. Need Help? Watch It

Answer 1

Sole Given Going nt the fral Sermest College aore raduating (a) Tf there 6 art Couases emain are which how mang that she selt t full at yeqivemed; thsee art Cousses have data, fom we 9ren ant Couxses available = 6 No. 4 1 History Guxses available No. (a) Seluct 3 axt Coustes trom 6 ast Cousses) 6 C3 20 ys to selat foAbiga Thene 20 ane three at Couxses rom 6 ast Cousse

Requ ed prokabilty tb selct hoary Cous ses from 4histoay Courses fom history Cousses Here have to Seloct 4 histoay Cousses e., 4 hisbay) = 4 2 out 6 ways for Abigeli toselut to :Thane axe hiskry fom tou histny tsehck 3 axt Coutes and 2 history Probabil Cousses Required pobabit)beg (3 ast and hisry) 206 120 way forAbigali to fulfl 120 ays , Thae ase and 2 histoy Courses both art Cousses 3