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When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation.

Find out how many different ways to choose items. For an in-depth explanation of the formulas please visit Combinations and Permutations.

Combinations and Permutations. Combinations and Permutations Calculator.

Illustrated definition of Permutation: Any of the ways we can arrange things, where the order is important. Example: You want to visit the homes of three...

Combinations and Permutations Calculator Old Version Find out how many different ways you can choose items. For an in-depth explanation of the formulas please visit Combinations and Permutations.

You can use the Combinations and Permutations Calculator to work it out (use n=49, r=6, 'No' for Is Order Important? and 'No' for Is Repetition allowed?) The actual calculation is this: 49 C 6 = 49! 43! × 6! = 13983816

Let's draw a tree diagram:. The "Two Chicken" cases are highlighted. The probabilities for "two chickens" all work out to be 0.147, because we are multiplying two 0.7s and one 0.3 in each case.In other words. 0.147 = 0.7 × 0.7 × 0.3. Or, using exponents:

Example: For a fruit salad, how many different combinations of 2 ingredients can you make with apple, banana and cherry? Answer: {apple, banana}, {apple, cherry} or {banana, cherry} When the order does matter, such as a secret code, it is a Permutation.

Example: There are 6 flavors of ice-cream, and 3 different cones.. That means 6 × 3 = 18 different single-scoop ice-creams you could order.

Play Bulls and Cows. Discover the hidden code! Click, or use arrow keys, to change your guess in each box. (Bulls and Cows is similar to, but came before, the board game MastermindTM*) Bulls = correct code, correct position. Cows = correct code, wrong position.