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For any pair of positive integers n and k, the number of k-tuples of non-negative integers whose sum is n is equal to the number of multisets of size k − 1 taken from a set of size n + 1, or equivalently, the number of multisets of size n taken from a set of size k, and is given by
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures.It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science.
In the given example, there are 12 = 2(3!) permutations with property P 1, 6 = 3! permutations with property P 2 and no permutations have properties P 3 or P 4 as there are no restrictions for these two elements. The number of permutations satisfying the restrictions is thus: 4! − (12 + 6 + 0 + 0) + (4) = 24 − 18 + 4 = 10.
Badak LNG, or formerly known as PT Badak Natural Gas Liquefaction or PT Badak NGL, is the largest liquefied natural gas (LNG) company in Indonesia and one of the largest LNG plants in the world. [1]
Pertamina fuel station in Bali. PT Pertamina (Persero) [a] is an Indonesian state-owned oil and natural gas corporation, headquartered in Jakarta. [3] It was created in August 1968 by the merger of Pertamin (established 1961) and Permina (established in 1957).