6. Chess is a two-player game in which each player starts with 16 total pieces. These piecesconsist of 8 pawns, 2 rooks, 2 bishops, 2 knights, one king, and one queen. Pieces of thesame type are indistinguishable. If one player's pieces are all lined up, how manydistinguishable ways can those pieces be arranged?

Chess in which each player starts with 16 total pieces. These pieces consist of 8 pawns, 2 rooks, 2…

Answered: Chess is a two-player game in which…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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John, Jim, Jack and Joe have formed a band consisting of 4 instruments (drums, piano, guitar, flute). If John, Jim and Jack can play all 4 instruments, but Joe can play only drums, piano and guitar, how many different arrangements are possible? What if John can play all four instruments, Jim can play drums, flute and piano and Jack and Joe can each play only piano and guitar?
At your local carnival, there is a game where 40 rubber duckies are floating in a kiddie tub, and they each have their bottoms painted one of three colors. 55 are painted pink, 16 are painted blue, and 19 are painted purple. If the player selects a duck with a pink bottom, they receive three pieces of candy. If they select blue, they receive two pieces of candy. And if they select purple, they receive one piece of candy. If the game is played 42 times, what are the minimum and maximum amounts of candy that could be handed out?
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