Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

[Q]: Tagalog sentence: a) Kung, Patunayan na may mga pagbabagong mula na para sa bawat permutasyon, May index iyon may karaniwang puntos.
[A]: a) If, prove that there are permutations from that for each permutation, there is an index that have common points.


[Q]: Tagalog sentence: Ang bawat booth ay mayroong mga mura ngunit kalidad na mga produkto at ang kikitain ay gagamiting pondo para sa pagpapatayo ng eye center ng Tzu Chi Foundation. (Kuhang larawan ni Nyanza Nakar)
[A]: Every booth offers low priced but quality items and the proceeds will be used in funding the construction of Tzu Chi Foundation’s eye center. (Photo by Nyanza Nakar)


[Q]: Tagalog sentence: Binabasa nila ito ng ganito: "Kung ikaw ay magkasala at hindi magtagumpay, samakatuwid ay mawawala ang iyong kaligtasan!
[A]:
They read into it something like this: “If you mess up and don’t win the victory, then you’re going to lose your salvation!