A mutual fund company has six funds that invest in the U.S. market, and four that invest in foreign markets. A customer wants to invest in two U.S. funds and two foreign funds.

(a) How many different sets of funds from this company could the investor choose?

(b) Unknown to this investor, one of the U.S. funds and one of the foreign funds will seri- ously under-perform next year. If the investor selects funds for purchase at random, what is the probability that at least one of the chosen funds will seriously under- perform next year?