Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.
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Question: Tagalog sentence: a) Kung, Patunayan na may mga pagbabagong mula na para sa bawat permutasyon, May index iyon may karaniwang puntos.

Answer: a) If, prove that there are permutations from that for each permutation, there is an index that have common points.


Question: Tagalog sentence: Ano ang pinakamaliit na halaga ng mga kard sa ang collection na kung saan ay nagbibigay-daan sa amin upang ayusin sa

Answer: What is the smallest amount of cards in the collection which enables us to arrange in


Question: Tagalog sentence: Ang mga pagbabagong ito ay dahil sa Knyveton Gardens Action Group, at may organisasyon din sa komunidad na nagboluntaryo para mapa-unlad at mapanatiling mabuti ang hardin.

Answer:
These features have been developed in conjunction with Knyveton Gardens Action Group, the voluntary community organisation involved in the enhancement and maintenance of the gardens.