DEGREES

If we randomly select five degrees without replacement, what is the probability that only one of them will be a degree in Mathematics?

$3*(\frac{101}{313}*\frac{212}{313}*\frac{212}{313}*\frac{212}{313}*\frac{212}{313})$

$5^{**}(\frac{101}{313}*\frac{212}{312}*\frac{212}{311}*\frac{212}{310}*\frac{212}{309})$

$5^{**}(\frac{101}{313}**\frac{212}{312}**\frac{211}{311}**\frac{210}{310}**\frac{209}{309})$

$4*(\frac{101}{313}*\frac{212}{313}*\frac{212}{313}*\frac{212}{313}*\frac{212}{313})$

$3*(101/313211/311209/309)$

$5^{\text{'}}(\frac{101}{313}*\frac{212}{313}*\frac{212}{313}*\frac{212}{313}*\frac{212}{313})$

$4**\frac{212}{312}*\frac{211}{311}*\frac{210}{310}*209/309)$

$5**(\frac{101}{313}**\frac{212}{313}**\frac{211}{313}**\frac{210}{313}**\frac{209}{313})$