what does 10 choose 3 mean

what does 10 choose 3 mean Finite Math Find the Number of Possibilities 10 choose 3 10C3 C 3 10 Evaluate 10C3 C 3 10 using the formula nCr n n r r C r n n n r r 10 10 3 3 10 10 3 3

3 meats from 5 options C 5 3 10 2 cheeses from 5 options C 5 2 10 0 to 3 toppings from 3 options we must calculate each possible number of choices from 0 to 3 and get C 3 0 C 3 1 C 3 2 2 choose 2 1 3 3 choose 1 3 3 3 choose 2 3 6 3 choose 3 1 10 4 choose 1 4 4 4 choose 2 6 10 4 choose 3 4 20 4 choose 4 1 35 5 choose 1 5 5 5 choose 2 10 15 5 choose 3 10 35 5 choose 4 5

what does 10 choose 3 mean

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If you choose only one element r 1 r 1 r 1 at once from that set the number of combinations will be 12 12 12 because there are 12 different balls Where n is the number of items r is the unique arrangements Plug in n 10 and r 3 Factorial Formula n n n 1 n 2 2 1 Calculate the numerator n n

Second method 4 digits means each digit can contain 0 9 10 combinations The first digit has 10 combinations the second 10 the third 10 the fourth 10 So 10 10 10 10 10 000 Mean Geometric Mean Quadratic Mean Average Median Mode Order Minimum Maximum Probability Mid Range Range Standard Deviation Variance Lower Quartile Upper

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And we input the number 5 for n and 3 for r and so we know that there 10 possible combinations But what does that actually mean Combinations Generator I ll show you using our generator N n r times nr Example in the lock above there are 10 numbers to choose from 0 1 2 3 4 5 6 7 8 9 and we choose 3 of them 10 10 3 times 103 1 000

x 3 gt 2x 1 x 5 x 5 gt 0 10 1 x 10 4 sqrt 3 x 2 6 11x 6x 2 x 3 0 factor x 2 5x 6 simplify frac 2 3 frac 3 2 frac 1 4 x 2y 2x 5 x y 3 When the order does matter such as the characters on the license plate of a car we d use permutations instead There are a number of different ways to denote a combination

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what does 10 choose 3 mean - Where n is the number of items r is the unique arrangements Plug in n 10 and r 3 Factorial Formula n n n 1 n 2 2 1 Calculate the numerator n n