(1) How many distinguishable ways are there to reorder the l…

(1) How many distinguishable ways are there to reorder the letters in the word CALCULUS? (2) How may distinguishable ways are there to reorder the letters in the word CALCULUS beginning with C or ending with S? (3) How many distinguishable ways are there to reorder the letters in the word CALCULUS containing the three letters CAL next to each other in order? (Please enter your answers as integers.) 

Consider the implication: Match each of the following varia…

Consider the implication: Match each of the following variations with the name of its logic form. (1) If I get a passing grade for this class, then I will graduate in May. (2) I don’t graduate in May but I do pass this class.   (3) If I graduate in May, then I get a passing grade for this class. (4) If I fail this class, then I cannot graduate in May.    (Hint: Use symbols to write the logic form of each statement.)

(4 points for the correct answer. 1 extra point if you have…

(4 points for the correct answer. 1 extra point if you have answered questions 1 through 7 correctly.)  In a survey, 37 people choose their favorite fruit from 4 options. Which formula can be used to calculate the number of different ways the votes can be distributed?