.The formula of a compound with elements A, B,C  will be of the form Ax ByCz  where x,y,z  are the atomicities of individual atoms respectively.
The oxidation numbers of the elements A,B,C  are  +2, +5and -2 respectively.
A compound is always neutral, so the oxidation number of the compound is zero. Hence, the net oxidation number of the individual atoms is zero. 
2x + 5y -2z= 0


Restricting it to conditions that maximum oxidation state could be +8 or -3 , by Hit and Trial method, the possible solutions of (x,y,z) could be (1,2,6) or (3,2,8). 

Both the sets are possible as the elements are unknown. Hence the compounds are A(BC3)2 or  A3B2C8... ok

Formula of the Compound Containing Elements A, B, and C:

To determine the formula of the compound, we need to consider the oxidation numbers of the elements A, B, and C. The oxidation number of an element indicates the number of electrons gained or lost by an atom of that element when it forms a compound.

Oxidation Numbers:
- Element A: Oxidation number = +2
- Element B: Oxidation number = +5
- Element C: Oxidation number = -2

Analysis:
Based on the given oxidation numbers, we can deduce the following information:

1. Element A:
- With an oxidation number of +2, element A has lost 2 electrons.
- This suggests that it is likely a metal since metals tend to lose electrons to achieve a stable electron configuration.

2. Element B:
- With an oxidation number of +5, element B has lost 5 electrons.
- This suggests that it is also a metal since it has a positive oxidation number.

3. Element C:
- With an oxidation number of -2, element C has gained 2 electrons.
- This indicates that it is likely a non-metal since non-metals tend to gain electrons to achieve a stable electron configuration.

Formation of Ionic Compound:
Considering the nature of the elements and their oxidation numbers, it is likely that the compound formed is an ionic compound.

1. Metal (A): Since both elements A and B are metals, they are likely to form a cation (positively charged ion) by losing electrons.

2. Non-Metal (C): Element C, being a non-metal, is likely to form an anion (negatively charged ion) by gaining electrons.

Combining Ions:
To form a neutral compound, the total positive charge of the cations should be balanced by the total negative charge of the anions. Let's consider the possible combinations:

1. A⁺² and C^-2: This combination would result in a neutral compound of AC.

2. A⁺² and B⁺⁵: The charges do not balance out, so this combination is not possible.

Possible Formula:
Based on the analysis, the possible formula of the compound is AC.

Note: It is important to note that without further information about the elements A, B, and C, it is not possible to determine the exact compound or its physical properties. The analysis above is based solely on the given oxidation numbers and general chemical principles.