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Evaluate each expression.

0 votes

Evaluate each expression.

asked Oct 25, 2018 in ALGEBRA 2 by anonymous
reshown Oct 25, 2018 by bradely

1 Answer

0 votes

5)

22C20  =  22! / [ (22-20)!20! ]

            =  22! / [ (2!)20! ]

            =  (22 x 21 X 20!) / [ (2X1) 20! ]

            =  (22 x 21) / 2

            =  11 X 21

            =  231

7)

12C8  =  12! / [ (12-8)! (8!) ]

           =  12 X 11 X 10 X 9 X 8! / [ (4 X 3 X 2 X 1) (8!) ]

           =  12 X 11 X 10 X 9 / 24

           =  11 X 5 X 9

           =  495

9)

24C5  =  24 C (24-5)

          =  24 C 19

          =  24! / [ (24-19)! (19!) ]

          =  (24 X 23 X 22 X 21 X 20 X 19! ) / [ (5)! (19!) ]

          =  (24 X 23 X 22 X 21 X 20 ) / (5 X 4 X 3 X 2 X 1)

          =  42504

11)

4 X (18 C 11)  =  4 { 18! / [ (18-11)! (11!) ] }

                       =  4 { 18! / [ (7)! (11!) ] }

                       =  4 { (18 X 17 X 16 X 15 X 14 X 13 X 12 X 11!) / [ (7X6X5X4X3X2X1) (11!) ] }

                       =  4 { (18 X 17 X 16 X 15 X 14 X 13 X 12) / (7X6X5X4X3X2X1) }

                       =  4 X 31824

                       =  127296

answered Oct 29, 2018 by homeworkhelp Mentor

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