Amanufacturing operations consists of 13 operations. however, five of the 13 machining operations must be completed before any of the remaining operations can begin. within each of these two sets, operations can be completed in any order. how many different production sequences are possible?

Possible production sequences= 4,838,400

Step-by-step explanation: Total machine operation =13

Machines divided into 2 sets.

Set 1= 5 machines

Set 1=5!= 5×4×3×2×1=120 ways

Set 2= 13-5 =8 machines

Set 2= 8!=8×7×6×5×4×3×2×1=40,320 ways

Total number of ways to sort the two sets =120×40,320= 4,838,400

5x+2x=49

7x=49

x=7. 35 apples