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Number of favorable outcomes (both 17th and 19th centered selected):
A regular six-sided die is rolled four times. What is the probability that the sum of the outcomes is exactly 14?
z_1 + z_2 + y_3 + y_4 = 10 - 12 = -2 < 0
No such solutions. So inclusion-exclusion stops here.
We are arranging 6 vehicles with specified counts: 2 autonomous (A), 3 electric (E), 1 hybrid (H). Since replacement is allowed, each position has independent choice, but we are counting distinct sequences — hence permutations of multiset.
Each autonomous vehicle has 5 choices
How many 6-digit positive integers consist only of the digits 1, 2, and 3, and contain at least one pair of consecutive identical digits?
The probability is the ratio of favorable outcomes to total possible outcomes:
So the whole numbers in this interval are:
2x + 7 + 5x + 1 + 4x + 10 = 11x + 18.