Answer:
The two ways the calendar meets the criteria of showing the correct date are;
1) The calendar can give dates in the 12 months in a year
2) The calendar can show up to the 31 different days in a month
Step-by-step explanation:
The two ways in which the calendar meets the criteria of showing the correct date are;
1) The number number of long blocks with 4 different months each = Three
Therefore, the total number of months the blocks can hold = 3 × 4 months = 12 months = The number of months in a year
2) The number of faces on each dice = 6 faces
The number of dice = 2 dice
The total number of faces = 12
The number of identical faces = 2 (11th and 22nd of the month)
The number of unique faces = 10
The number of combinations of the dices = ₁₀C₂ = 45
The number of combination of faces required to show = 1 to 31 = 31 combination
Therefore, there are adequate combinations on the dice to show all the dates of month