Understanding the Question: Finding the Centre Letter in Reversed Alphabetical Order

The question asks us to take the letters from the word "TOUCHED", arrange them in reverse alphabetical order, and then identify the letter that is exactly in the centre of this new arrangement.

Step-by-Step Solution

Let's break down the process:

1. Identify the letters in the word TOUCHED.
2. Arrange these letters in reverse alphabetical order (from Z to A).
3. Find the total number of letters in the arrangement.
4. Determine the position of the centre letter.
5. Identify the letter at the centre position in the arranged list.

Identifying and Arranging Letters

First, let's list the distinct letters present in the word TOUCHED:

• T
• O
• U
• C
• H
• E
• D

There are 7 letters in total.

Now, we need to arrange these 7 letters in reverse alphabetical order. We compare each letter's position in the standard alphabet and arrange them starting with the letter closest to Z, moving towards A.

Let's list the letters and their alphabetical order positions:

Arranging these letters in reverse alphabetical order means listing them from the highest alphabetical position to the lowest. The order will be:

1. U (21)
2. T (20)
3. O (15)
4. H (8)
5. E (5)
6. D (4)
7. C (3)

So, the arrangement in reversed alphabetical order is: U, T, O, H, E, D, C.

Finding the Centre Position

There are 7 letters in the arranged list. To find the position of the centre letter in an arrangement of 'n' items, where 'n' is odd, the position is given by the formula:

Centre Position $= \frac{n+1}{2}$

In this case, $n = 7$ (the total number of letters).

Centre Position $= \frac{7+1}{2} = \frac{8}{2} = 4$

The centre letter is at the 4th position in the reversed alphabetical arrangement.

Identifying the Centre Letter

Now we look at our reversed alphabetical arrangement: U, T, O, H, E, D, C.

Let's count to the 4th position:

• 1st: U
• 2nd: T
• 3rd: O
• 4th: H
• 5th: E
• 6th: D
• 7th: C

The letter at the 4th position is H.

Therefore, the letter exactly at the centre of the arrangement when the letters of TOUCHED are arranged in reversed alphabetical order is H.

Summary of the Reversed Alphabetical Arrangement

The letters of TOUCHED arranged in reversed alphabetical order are:

U T   O   H   E   D   C

The centre position is the 4th position, which is occupied by the letter H.

Revision Table: Word Arrangement

Additional Information: Alphabetical Order

Understanding alphabetical order is crucial for solving this type of problem. Standard alphabetical order goes from A to Z. Reversed alphabetical order goes from Z to A.

• Standard Order: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z
• Reversed Order: Z, Y, X, W, V, U, T, S, R, Q, P, O, N, M, L, K, J, I, H, G, F, E, D, C, B, A

When arranging letters from a word in reversed alphabetical order, we are essentially ordering them according to their position in the reversed alphabet list. For example, U comes before T in the reversed list because U is closer to Z than T is. Similarly, H comes before E because H is closer to Z than E is.