For each problem, display the final numerical answer and the equation(s) used to form the answer. Leave combinations, permutations, factorials, and exponents intact. Good example: C(6, 3) - C(5, 2) = 10 Bad examples: 10 no equation C(6, 3) - C(5, 2) no final answer 20 - 10 = 10 did not leave combinations intact If the final equation is too complex, introduce variables and break it down into two or more equations. You are encouraged to show additional work to indicate how you derived your equation.3. (20 points, 4 points each) A bagel shop has bagels in the following six varieties: plain, sesame, onion, blueberry, asiago cheese, and everything. Assuming there is at least 20 bagels of each variety, how many ways are there to choose 20 bagels... a. with no restrictions. b. with at least two of each variety. C. with three or fewer blueberry bagels. d. at least two plain bagels but no more than four plain bagels. e. with three or fewer blueberry bagels and three or fewer onion bagels