Question

A manufacturing 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? Entry field with correct answer 4838400

Answer 1

Answer:

4,838,400

Explanation:

Assume there are already Two sets of machine working.

In the first set, there is 5 machine Operates and in another set, There are 8 machines (13-5) operates.

So Total Production sequence = First sets all combinations  x Second sets all combination

= 5! x 8!

= ( 5 x 4 x 3 x 2 x 1 ) x ( 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 )

= 120 x 40,320

= 4,838,400

So , total number of machine combination is 4,838,400.