QUESTION 12 There are 70 musicians in the group, 26 are play string instruments ; 24 play percussion instruments, 20 play horns. 18 are selected to receive a $100 gift certificate. Leaving your answers in combinatorics formot, what is the probability that an equal number of each type of musician was selected? D ((26,18)* C(24,18)* C(20.18) (170,18) D ((26,6) + C(24,6) + C(20,6) ((70,18) O P(26,6)* P(24,6)* P(20,6) P(70,18) Q O ((26,6)* C(24,6)* 0(20,6) C(70,18) QUESTION 13 Theng are 46 flowers being exhibited at the botanical gardens 22 are in the orchid family: 14 are in the cactus family : 10 are in the rhododendron family. 5 of the flowers will be presented to the Queen. Leaning your answers in combinatorics format, what is the probability that At least 3 members of the cactus family will be selected? 0 0(14,3) * 0(14,4) * 0(14,5) C(46.5) O C(14,3) C(14,4) C(14,5) C(14,5) ((14,5) C(14,5) 0 0(14,3)*C(32,2) + C(14,4)*((32,1) + ((14,5)*((32,0) C(46,5) O ((14,3) + 0(14,4) + 0(14,5) ((46,5) QUESTION 14 There are 150 seats in the auditorium. 40 located on the left: 50 located on the right; and 60 located in the center. 24 seats will be selected for reupholstering, Leaving your answers in combinetonics format, what is the probability that: at most 2 seats located on the left will be selected? O C(40,2) C(40,1) C(40,0) C(150,24) ((150,24) C(150,24) C(40,2) ((150,24) O C(40,0)* 0(110,24) + C(40,1)* C(110,23) + C(40,2)*C(110,22) C(150,24) O C(40,2)* (110,22) C(150,24) QUESTION 15 There were 100 screws to choose from. 30 metal screws: 45 wood screws; and 25 plastic screws. 21 of these screws were sold. Leaving your answers in combinatorics format, what is the probability that: All 21 screws that were sold are of the same type? O C(30,21) * 0(45,21)* C(25,21) C(100,21) O C(30,21)*0(70,0) + 0(45,21)*0(55,0) + C(25,21)* C(75,0) C(30,21) + C(45,21) + C(25,21) 0 0(30,21)* C(70,0) + C(45,21)* C(55,0) + C(25,21)* C(75,0) (100,21) O P(30,21) * P(45,21)* P(25,21) P(100,21)