What syndrome is characterized by hypogonadism, anosmia, and color blindness in a child?

Kallmann syndrome is characterized by a specific combination of symptoms that includes hypogonadism, anosmia (the loss of the sense of smell), and often color blindness. This condition arises due to a failure of the olfactory bulbs to develop properly, leading to anosmia, and is associated with hypogonadotropic hypogonadism due to a failure in the secretion of gonadotropin-releasing hormone.

In Kallmann syndrome, the disruption in gonadal function results in delayed or absent puberty and other associated hypogonadal features. The genetic basis often involves mutations in genes necessary for the development of the olfactory system and the hypothalamic-gonadal axis.

The other conditions provided in the options are characterized by different sets of symptoms and genetic factors. Klinefelter syndrome primarily affects males and is characterized by the presence of an extra X chromosome leading to gynecomastia and infertility without the specific combination seen in Kallmann syndrome. Turner syndrome affects females and involves the absence of an X chromosome, resulting in different manifestations such as short stature and ovarian insufficiency, but does not typically involve anosmia or color blindness. Carpenter syndrome involves skeletal anomalies and may include other abnormalities, but does not present with this hallmark