Deidre is picking out some movies to rent, and she is primarily interested in mysteries and action movies. She has narrowed down her selections to 10 mysteries and 18 action movies. Step 1 of 2 : How many different combinations of 4 movies can she rent?
10 mysteries and 18 action movies
How many different combinations of 4 movies can she rent?
0 mysteries and 4 action movies
10C0*18C4 = 2856
1 mysteries and 3 action movies
10C1*18C3 = 8160
2 mysteries and 2 action movies
10C2*18C2 = 6885
3 mysteries and 1 action movies
10C3*18C1 = 1200
4 mysteries and 0 action movies
10C4*18C0 = 210
different combinations she can rent = 2856 + 8160 + 6885 + 1200 + 210
different combinations she can rent = 19311
Deidre is picking out some movies to rent, and she is primarily interested in mysteries and...
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