aYou are dealt five Euchre cards out of the 24 total hands H

a)You are dealt five Euchre cards out of the 24 total hands. How many ways is there to order all hands?In detail.

b) Given 5 Euchre cards, how many ways is there to order them? In detail.

Solution

In the game of Euchre total cards are 24.

a) No of ways for 5 euchre cards = 24C5

i.e. these cards can be selected from 24 Euchre cards in 24C5 ways

Hence no of ways = 42504

These can be ordered in 5! ways

Hence no of ways = 42504(5!)

= 5100480

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b) NO of ways to order 5 Euchre cards = 5! ways.