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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?



Answer -

The mint has toperform

(i) Select the numberof days in the month of February (there can be 28 or 29 days), and

(ii) Select the firstday of February.

Now,

In 2 ways mint canselect the number of days in February and for selecting first day of February,it can start from any of one of the seven days of the week, so there are 7possibilities.

Hence, the number oftypes calendars should it prepare to serve for all the possibilities in futureyears is 7 × 2 = 14.

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