Dehydration of alcohols is a reaction in which water molecule is eliminated from the alcohol molecule to form an alkene. The ease of dehydration depends on several factors such as the stability of the carbocation intermediate, the nature of the alcohol molecule, and the availability of a leaving group.

In this case, we need to arrange the alcohols (C6H5)3CCH2OH, (C6H5)CHOHCH3, and (C6H5)2COHCH2 in order of ease of dehydration.

1. (C6H5)3CCH2OH
2. (C6H5)2COHCH2
3. (C6H5)CHOHCH3

Let's analyze each alcohol individually to determine their ease of dehydration:

1. (C6H5)3CCH2OH:
This alcohol contains a tertiary carbon atom attached to three phenyl groups. Tertiary carbocations are more stable than primary or secondary carbocations due to the increased number of alkyl groups providing electron density. Therefore, (C6H5)3CCH2OH is the most stable among the three alcohols and will undergo dehydration most easily.

2. (C6H5)2COHCH2:
This alcohol contains a secondary carbon atom attached to two phenyl groups. Secondary carbocations are less stable than tertiary carbocations but more stable than primary carbocations. Although (C6H5)2COHCH2 is less stable than (C6H5)3CCH2OH, it is more stable than (C6H5)CHOHCH3.

3. (C6H5)CHOHCH3:
This alcohol contains a primary carbon atom attached to a phenyl group. Primary carbocations are the least stable among the three types of carbocations. (C6H5)CHOHCH3 has the least stability among the three alcohols and will undergo dehydration least easily.

Therefore, the alcohols can be arranged in order of ease of dehydration as follows:

1. (C6H5)3CCH2OH
2. (C6H5)2COHCH2
3. (C6H5)CHOHCH3

To summarize:
- (C6H5)3CCH2OH is the most easily dehydrated alcohol due to the stability of the tertiary carbocation intermediate.
- (C6H5)2COHCH2 is less easily dehydrated but more so than (C6H5)CHOHCH3 due to the stability of the secondary carbocation intermediate.
- (C6H5)CHOHCH3 is the least easily dehydrated alcohol due to the instability of the primary carbocation intermediate.