There are 14 students in tne class. The teacher has placed 3 chairs in the center of the classroom for a game. Three students will be chosen to sit IH IHe statement? O It the order of the students is a concerm, there are 2,184 possible arrangements. O If the order of the students is not a concern, there are 2,184 possible arrangements. O If the order of the students is a concern, there are 364 possible arrangements. O It the order of the students is not a concern, there are 42 possible arrangements.

Q: a certain game involves tossing 3 fair couns and it pays 22 cents for 3 heads, 9 cents for 2 heads a…

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Q: 3. There are 5 players on the Rockets 3-on-3 basketball team. a. From these 5 players how many 3…

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Q: Is the game fair? How many dollars should Jane pay for a draw in a fair game?

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Q: 3. Betty is playing a game with a fair die. If she rolls a prime number, she scores 10 times the…

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Q: The four players in a bridge game are each dealt 13 cards. How many ways are there to do this?

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.