Step-by-step Solution:

Solution

The solution is found by identifying the specific pattern of rearrangement used to code the word CLAUSE and then applying that same pattern to the word UMPIRE.

1. Analyze the Pattern

The letters of the coded word are a direct rearrangement of the letters of the original word. Let's number the positions in the original word:
C(1) L(2) A(3) U(4) S(5) E(6)

The coded word is formed by rearranging these letters into the new sequence of positions: 6, 1, 5, 2, 4, 3.
E(6) C(1) S(5) L(2) U(4) A(3) → ECSLUA

2. Apply the Pattern to UMPIRE

First, we number the positions in the word UMPIRE:
U(1) M(2) P(3) I(4) R(5) E(6)

Now, we create the new word using the same position sequence (6, 1, 5, 2, 4, 3):

• The letter from position 6 is E.
• The letter from position 1 is U.
• The letter from position 5 is R.
• The letter from position 2 is M.
• The letter from position 4 is I.
• The letter from position 3 is P.

Conclusion:

Combining these letters in the new order gives the code EURMIP.