Which is the governing body responsible for Deaflympics?

The correct option is: International Committee of Sports for the Deaf (ICSD).

To understand why this is the correct answer, let us look at the roles of the organizations mentioned in the options:
1. International Committee of Sports for the Deaf (ICSD): Founded in 1924 as the Comité International des Sports des Sourds (CISS), the ICSD is the international governing body for deaf sports. It is officially recognized by the International Olympic Committee (IOC) and is the sole organization responsible for hosting and governing the Summer and Winter Deaflympics.
2. International Paralympic Committee (IPC): The IPC is the global governing body for the Paralympic Movement. It organizes the Paralympic Games for athletes with physical, visual, and intellectual impairments, but it does not govern the Deaflympics. Deaf athletes choose to compete in the Deaflympics under the ICSD rather than the Paralympics.
3. Special Olympic Committee (SOC) / Special Olympics: This organization is responsible for sports training and athletic competition for children and adults with intellectual disabilities, which is separate from the Deaflympics.
4. World Deaf Committee (WDC): This is not the official governing body responsible for the Deaflympics.

Therefore, the governing body responsible for the organization and execution of the Deaflympics is the International Committee of Sports for the Deaf (ICSD).