2. (10) Find two integers b (one negative and one positive) such that 3. (10) A dormitory has 40 students-12 sophomores, 10 juniors, and 18 seniors. Which of the following is equal to the number of ways to form a committee class? of five students from the same a) C(40,5)73 b) P(12,5)+P(10,5)+P(18,5) c) C(12,5)+C(40,5)+C(18,5) d) P(12,5)*P10,5) P(18,5) e) C(12,5)-cio,s) *C(18,5) 4.(10) Suppose you want to use mathematical induction to prove that for all positive integers. To show Pa) implies P(k+1), you assume the equality in the statement P(k) and a. Add k 2+1 to both sides b. Add k+1 to both sides c. Add k to both sides d. Add (k 1)2 to both sides Which statement about the functionx)-x1+2 from the set of real numbers to the set of integers is correct? a. for) is one-to-one and onto. b. ft) is one-to-one, but not onto. c. fa) is neither one-to-one nor onto. d. fo) is onto, but not one-to-one. Page 1 2. (10) Find two integers b (one negative and one positive) such that 3. (10) A dormitory has 40 students-12 sophomores, 10 juniors, and 18 seniors. Which of the following is equal to the number of ways to form a committee class? of five students from the same a) C(40,5)73 b) P(12,5)+P(10,5)+P(18,5) c) C(12,5)+C(40,5)+C(18,5) d) P(12,5)*P10,5) P(18,5) e) C(12,5)-cio,s) *C(18,5) 4.(10) Suppose you want to use mathematical induction to prove that for all positive integers. To show Pa) implies P(k+1), you assume the equality in the statement P(k) and a. Add k 2+1 to both sides b. Add k+1 to both sides c. Add k to both sides d. Add (k 1)2 to both sides Which statement about the functionx)-x1+2 from the set of real numbers to the set of integers is correct? a. for) is one-to-one and onto. b. ft) is one-to-one, but not onto. c. fa) is neither one-to-one nor onto. d. fo) is onto, but not one-to-one. Page 1