all AT&T; 2:09 AM 4 596 I Done 7 of 8 DOLL 25 13 LLec Computer keybeard tailures

Question

all AT&T; 2:09 AM 4 596 I Done 7 of 8 DOLL 25 13 LLec Computer keybeard tailures can be atvibubed to electrical deflects or mecharical delcts defects and 13 of which have medhanical deflects arfaility cumerty las 25 tallet keybourdh, 2dwio (a) How many ways are there to candomily select & of these keyboards for a thorsugh Iinspedtion lthoul gardt rde A friend of mine is seningorderinpona. mary-s rhettodono he wants to serve 3 bottles ofzitm Df6 bottles of nine are to be randomly selecded from the 29 for serving, how many say an e t to bie 20 ways 6 botles are randomly selicted, how many ways arve thereto obain bao botties d ach i 300 ways 2 M 4 ]

Explanation / Answer

13 electrical defects and 12 mechanical defects

(a) Selecting 6 keyboards out of 25 = 25C6 = 177,100 ways

(b) selecting 6 keboards where 2 have electrical defects.

So choose 2 out of 13 and 4 out of 12 = 13C2 * 12C4 = 78 * 495 = 38,610 ways

(a) He has 10 bottles of zinfandel. Then 3 servings can be done ( where order is important) in 10P3 = 10 * 9 * 8 = 720 ways

(b) 6 bottles from 29 = 29C6 = 475,020 ways

(c) 2 bottles of each variety = 10C2 * 8C2 * 11C2 = 45 * 28 * 55 = 69,300 ways

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