Where does the snow come from on Mount Everest being that the mountain is higher than the clouds?

Dear Tom,
I teach chemistry and biology at Naperville Central High School and one of my students, Sean Anderson, asked why photographs of Mount Everest always show a snow-covered peak, but most clouds are well below the peak of the mountain. Where does the snow come from?
— Eric Novak, Naperville
Dear Eric,
Mount Everest, the world’s highest mountain with an elevation of 29,029 feet, is located in the Mahalangur Himal sub-range of the Himalaya Mountains on the border between Tibet and Nepal. It’s true that practically all photographs of Everest picture the mountain under a clear or nearly clear sky.
In actuality, an overcast sky, falling snow and winds in excess of 100 mph are frequent occurrences at Everest. The problem is that when those conditions happen, they completely obscure the mountain and photographs of it cannot be taken.