How To Solve Combination Problems

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Since we are allowed to reuse numbers, we now have 4 number options available for the second digit, third digit, and fourth digit as well.

That’s the same as: Assuming no one else is drawing cards from the deck, there are 52 cards available on the first draw, so place “52” in the first blank.

An arrangement of objects in which the order is not important is called a combination.

This is different from permutation where the order matters.

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P(10, 5) = 10 x 9 x 8 x 7 x 6 = 30240 The chances of winning are 1 out of 30240. How many committees of 3 can be formed from a group of 4 students? If she met the prerequisites for all the courses, how many ways can she take 4 classes next semester? How many different groups can be formed from the office?

How to evaluate combinations as well as solve counting problems using combinations? This is a combination and can be written as C(4,3) or or \(\left( \right)\).

The permutations of 2, 3, 4, 5 are: Your locker “combo” is a specific permutation of 2, 3, 4 and 5.

If your locker worked truly by combination, you could enter any of the above permutations and it would open!


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