Problem 1 A production process requires a job to be processe

Problem 1

A production process requires a job to be processed through three different manufacturing cells

Solution

a) If order matters no of ways = 5x4x3 = 60 ways

b) If A cell is fixed. Then we have options to select B and C only

Hence no of ways = 4x3 = 12 ways.

c) ) If in any order it can be routed means, A, B, C can be arranged in 3! ways.

Hence total ways = 3!x60 = 360 ways.

d) Here order matters in the way A-B-C

Hence for A 2 times can be done in 5C2 ways, B in 4C2 ways and C 3C3 ways

Total ways = 5C2(4C2)(3C3)

= 10(6) = 60 ways