Consider the following information about element P and Q:
`{:(,"Period number","Group number"),(P,2,15),(Q,3,2):}`
the formula of the compound formed by P and Q element is:

Options

A. `PQ`
B. `P_(3)Q_(2)`
C. `P_(2)Q_(3)`
D. `PQ_(2)`

Explanation

To determine the formula of the compound formed by elements P and Q, we need to analyze their group numbers and oxidation states based on the periodic table.

### Step-by-Step Solution:

1. **Identify the Elements and Their Groups:**
- Element P is in Period 2 and Group 15.
- Element Q is in Period 3 and Group 2.

2. **Determine the Oxidation States:**
- For element P (Group 15):
- Elements in Group 15 typically have an oxidation state of -3 (as they can gain 3 electrons) or +3 (as they can lose 3 electrons). However, in compounds, they often exhibit a +3 oxidation state.
- For element Q (Group 2):
- Elements in Group 2 typically have an oxidation state of +2 (as they lose 2 electrons).

3. **Write the Empirical Formula:**
- To combine these two elements, we need to balance their oxidation states.
- Since P can have a +3 oxidation state and Q has a +2 oxidation state, we need to find the least common multiple (LCM) of their oxidation states to balance the charges.
- The LCM of 3 and 2 is 6.
- To achieve a total positive charge of +6, we need:
- 2 atoms of P (each contributing +3) = 2 × +3 = +6
- 3 atoms of Q (each contributing +2) = 3 × +2 = +6

4. **Combine the Atoms to Form the Compound:**
- Therefore, the empirical formula for the compound formed by P and Q is P₂Q₃.

### Final Answer:
The formula of the compound formed by elements P and Q is **P₂Q₃**.