Number of different isomers possible for 2,3,4,5 tetra bromo heptane

Introduction
The number of different isomers possible for a compound is determined by the different arrangements of its constituent atoms. In the case of 2,3,4,5 tetra bromo heptane, we need to consider the different ways the bromine atoms can be positioned on the heptane chain.

Explanation
The heptane chain in 2,3,4,5 tetra bromo heptane consists of 7 carbon atoms. The bromine atoms can be attached to any of these carbon atoms, resulting in different isomers. Let's consider the possible isomers:

Position 1: Bromine attached to the first carbon atom
In this position, the bromine atom is attached to the first carbon atom of the heptane chain. The other three bromine atoms can be attached to any of the remaining carbon atoms. This results in 3 possibilities.

Position 2: Bromine attached to the second carbon atom
In this position, the bromine atom is attached to the second carbon atom of the heptane chain. The other three bromine atoms can be attached to any of the remaining carbon atoms. This also results in 3 possibilities.

Position 3: Bromine attached to the third carbon atom
In this position, the bromine atom is attached to the third carbon atom of the heptane chain. The other three bromine atoms can be attached to any of the remaining carbon atoms. This also results in 3 possibilities.

Position 4: Bromine attached to the fourth carbon atom
In this position, the bromine atom is attached to the fourth carbon atom of the heptane chain. The other three bromine atoms can be attached to any of the remaining carbon atoms. This also results in 3 possibilities.

Position 5: Bromine attached to the fifth carbon atom
In this position, the bromine atom is attached to the fifth carbon atom of the heptane chain. The other three bromine atoms can be attached to any of the remaining carbon atoms. This also results in 3 possibilities.

Position 6: Bromine attached to the sixth carbon atom
In this position, the bromine atom is attached to the sixth carbon atom of the heptane chain. The other three bromine atoms can be attached to any of the remaining carbon atoms. This also results in 3 possibilities.

Position 7: Bromine attached to the seventh carbon atom
In this position, the bromine atom is attached to the seventh carbon atom of the heptane chain. The other three bromine atoms can be attached to any of the remaining carbon atoms. This also results in 3 possibilities.

Total number of isomers
To determine the total number of isomers, we sum up the possibilities from each position:

3 possibilities for position 1
3 possibilities for position 2
3 possibilities for position 3
3 possibilities for position 4
3 possibilities for position 5
3 possibilities for position 6
3 possibilities for position 7

Therefore, the total number of different isomers possible for 2,3,4,5 tet