A fair dice is rolled. Work out the probability of getting a factor of 12.
2 answers:
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According to the rule of angles and parallel lines, we can say that ∠NKM and ∠KML are equal because they are alternate angles. Since MP is a bisector, ∠KMP = ∠LMP = 1/2∠NKM = 29°. We know that ∠MKL = 90°-∠NKM = 32°. According to the sum of all angles of the triangle, ∠KPM = 180-(32+29) = 119°.
Answer:
The general formula that can be used to find the required combinations for n flavor ice-cream.
For 10 ice-cream flavors
Step-by-step explanation:
Let V = Vanila, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry
2 ice-cream flavor:
V, C
{V/V, V/C, C/C}
3 possible combinations
3 ice-cream flavor:
V, C, S
{V/V, V/C, V/S, C/S, C/C, S/S}
6 possible combinations
4 ice-cream flavor:
V, C, S, P
{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}
10 possible combinations
5 ice-cream flavor:
V, C, S, P, B
{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }
15 possible combinations
So we have a series of
3, 6, 10, 15...
This series is known as Triangular number series
1 + 2 = 3
1 + 2 + 3 = 6
1 + 2 + 3 + 4 = 10
1 + 2 + 3 + 4 + 5 = 15
The general formula for this series is
Using the above formula we can predict the number of 2-scoop combinations with 10 flavors.
Therefore, there are 55 different combinations of 2-scoop with 10 flavors.