A mint prepare metallic calendars specifying months, date, and days in form of monthly sheets( one plate for each month). How many types of calendars should it prepare to serve for all possibilities in the future years?
a)14 b)18 c)28 d)none
a)14 b)18 c)28 d)none
there are 2 possibilities for the number of days in february as it can have 28 days or 29 days in the leap years.
Also the first day of the month can be any one of the seven days in a week.
therefore no of february calendars = 2*7=14 Yes, 14 will be the right answer. Any February month will have 2 choices. 1) First day of the Feb will have 7 choices from the set {Mon, Tue, Wed, Thu, Fri, Sat, Sun}. 2) Total number of days in the month will have 2 choices from the set {28, 29}. so total 7x2 = 14 choices for any February month. We can enumerate all the 14 possibilities using an ordered pair (x, y) where x represents the first day of that particular February month and y represents total number days in that particular February month. For Example: (Mon, 28) represents a Feb month whose first day (i.e. 1 Feb) is Monday, & the month has total 28 days. Similarly (Tue, 28), (Wed, 28).......(Sat, 29), (Sun, 29).
there are 2 possibilities for the number of days in february as it can have 28 days or 29 days in the leap years.
Also the first day of the month can be any one of the seven days in a week.
therefore no of february calendars = 2*7=14 Yes, 14 will be the right answer. Any February month will have 2 choices. 1) First day of the Feb will have 7 choices from the set {Mon, Tue, Wed, Thu, Fri, Sat, Sun}. 2) Total number of days in the month will have 2 choices from the set {28, 29}. so total 7x2 = 14 choices for any February month. We can enumerate all the 14 possibilities using an ordered pair (x, y) where x represents the first day of that particular February month and y represents total number days in that particular February month. For Example: (Mon, 28) represents a Feb month whose first day (i.e. 1 Feb) is Monday, & the month has total 28 days. Similarly (Tue, 28), (Wed, 28).......(Sat, 29), (Sun, 29).
