The Thanksgiving falls on the fourth Thursday in November Pl

The Thanksgiving falls on the fourth Thursday in November. Please use pigeonhole principle to explain that we must have a Thanksgiving in every November. Please give the date range where the Thanksgiving falls on. For example, it may be in any day between 20th and 30th. Please give your accurate solution through your deduction.

Solution

Solution : 1 . If november 1 st is thursday then nov 8 th , 15 th 22 nd are thursdays

hence 4th thursday is on 22 nd ---------------------(1)

2. If nov 1 st is wednesday then 8 th , 15 th ,22nd are wednesdays and the 4 th thursday is on 23rd

3. If nov 1 st is tues day 8 th 15 th 22nd are tuesday and 4th thursday is on 24 th

4. similarly if 1 st ofnovember is on monday the 4 th thursday is on 25 th

5 . if 1 st of nov is sunday the 4 th thursday os on 26 th

6 . if 1 st of nov is on saturday , 4 th thursday is on 27 th

7 . if 1 st of nov is on friday then the 4th thursday is on 28 th

from the above steps we conclude that the thanks giving thursday falls from 22 nd novenber to 28 th november