At the beginning of a game of chess, the back row consists of two (identical) rooks on the corners, then two knights next to them, then two bishops, and finally a king and a queen in the center. Bobby Fischer, an American chess legend, popularized the idea of randomly shuffled starting positions. In how many distinct ways can the eight pieces above be aligned?

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A: From given data : Breads = 4 types Meat = 2 Types Vegetable = 2 types Spreads = 2 types

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A: Given that:

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A:

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Q: Consider the transformation T:R'- R defined by T(1, y, 2) = (-21 +z, 4y + 32) (a) Prove that T is a…

A:

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A: For a flush, 5 cards of same suit in a row should be present.

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