. Are there finitely or infinitely many integers n for which φ(n) = 1000? Explain. (A yes or no is NOT sufficient!)

Indicate whether each statement is true or false, assuming that the "or" in the sentence means the inclusive or. then indicate whether the statement is true or false if the "or" means the exclusive or. (a) february has 31 days or the number 5 is an integer. (b) the number pi is an integer or the sun revolves around the earth. (c) 20 nickels are worth one dollar or whales are mammals. (d) there are eight days in a week or there are seven days in a week. (e) january has exactly 31 days or april has exactly 30 days.