Puzzles
11 December
There are 6 sets of integers between 1 and 5 (inclusive) that contain an odd number of numbers whose median value is 3:
- {3}
- {1,3,4}
- {2,3,4}
- {1,3,5}
- {2,3,5}
- {1,2,3,4,5}
How many sets of integers between 1 and 11 (inclusive) are there that contain an odd number of numbers whose median value is 5?
7 December
There are 8 sets (including the empty set) that contain numbers from 1 to 4 that don't include any consecutive integers:
How many sets (including the empty set) are there that contain numbers from 1 to 14 that don't include any consecutive integers?