Give a detailed answer

1. Using our logical constructions for "exactly one" and exactly two" expressions, convert these English sentences to logic such that their (a) Exactly one man was first on the Moon. (b) Exactly two cupcakes have chocolate frosting meanings are preserved. 2. As discussed in class, "exactly two" statements can be viewed as the intersection of "at most two" and at least two." Convert these English sentences to logic such that their meanings are preserved. (a) At least two movies earned $100 million. (b) Joaquin's car can have at most two passengers