You have to do 10 homeworks (HW) of 2 different courses: 6 HW from course A, and 4 HW from course B. (you will do and finish them one by one, you won't do two homeworks at the same time) How many ways are there to do your homeworks in an order, so that no two HW of course B will be done consecutively (consecutively means ardışık in TR) (Hint: First, position HW-A's and then consider possible positions for HW-B's.) O a. 2! x P(6,6) x P(10,4) O b. P(6,6) x C(7,4) O . P(6,6) x P(7,4) O d. C(10,6) x P(6,6) xP(4,4) O e. C(10,6) x P(6,4)
You have to do 10 homeworks (HW) of 2 different courses: 6 HW from course A, and 4 HW from course B. (you will do and finish them one by one, you won't do two homeworks at the same time) How many ways are there to do your homeworks in an order, so that no two HW of course B will be done consecutively (consecutively means ardışık in TR) (Hint: First, position HW-A's and then consider possible positions for HW-B's.) O a. 2! x P(6,6) x P(10,4) O b. P(6,6) x C(7,4) O . P(6,6) x P(7,4) O d. C(10,6) x P(6,6) xP(4,4) O e. C(10,6) x P(6,4)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 27E
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Transcribed Image Text:You have to do 10 homeworks (HW) of 2 different courses: 6 HW from course A, and 4 HW from course B. (you will do and finish them
one by one, you won't do two homeworks at the same time)
How many ways are there to do your homeworks in an order, so that no two HW of course B will be done consecutively (consecutively
means ardışık in TR) (Hint: First, position HW-A's and then consider possible positions for HW-B's.)
O a. 2! x P(6,6) x P(10,4)
O b. P(6,6) x C(7,4)
O c. P(6,6) x P(7,4)
O d. C(10,6) x P(6,6) xP(4,4)
O e. C(10,6) x P(6,4)
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