A mint prepares metallic calendars specifying months, dates and d… - Vidyadip

Question

A mint prepares metallic calendars specifying months, dates and days in the form of monthly sheets (one plate for each month). How many types of calendars should it prepare to serve for all the possibilities in future years?

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Answer

The mint has to perform two job,

Selecting the number of days in the february month (there can be 28 days or 29 days).
Selecting the first day of february.

The first job can be compeleted in 2 ways the second can be performed in 7 ways by selecting are on of the seven days of a week. Thus, the required number of plates = 2 × 7 = 14 Hence, total number of calendars = 7 × 2 = 14

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