Please Show Work or Justify Your Answer for ALL Question 4: (a). Suppose you are in charge of scheduling the fall lineup for a TV network. The network currently has 6 shows returning from last fall, and 4 new shows. They want to keep the relative line-up of the old shows the same, when scheduling the new shows. How many ways can the new shows be added to the schedule? (b). Suppose 12 students from CS170 are late for lecture, and decide to race across campus from SAL. The CP holding office hours says the student who comes in first will get 10 bonus points, second place will get 5 bonus points, and 3rd place will get 3 bonus points. How many way are there to award first, second, and third, place? Please Show Work or Justify Your Answer for ALL Question 4: (a). Suppose you are in charge of scheduling the fall lineup for a TV network. The network currently has 6 shows returning from last fall, and 4 new shows. They want to keep the relative line-up of the old shows the same, when scheduling the new shows. How many ways can the new shows be added to the schedule? (b). Suppose 12 students from CS170 are late for lecture, and decide to race across campus from SAL. The CP holding office hours says the student who comes in first will get 10 bonus points, second place will get 5 bonus points, and 3rd place will get 3 bonus points. How many way are there to award first, second, and third, place