Calxsolver
Subject:  Precalculus

Compute the combinations 10C4

Count the number of unordered selections of 4 items from 10.

Answer nPr = 5040, nCr = 210

Solution

  1. Given n = 10, r = 4
  2. Permutations nPr = n! / (n − r)! = 10! / 6! = 5040
  3. Combinations nCr = n! / (r!·(n − r)!) = nPr / r! = 5040 / 24 = 210
  4. Factorial n! = 3628800

Try a similar problem yourself

Use the Permutations & Combinations to solve a similar problem with your own values.

Open the solver

More Precalculus problems

Expand (x + 1)⁵ Apply the binomial theorem with whole-number exponent 5. Expand (2x − 1)³ Apply the binomial theorem with a non-unit leading coefficient. Compute the permutations 7P3 Count the number of ordered arrangements of 3 items chosen from 7. Multiply (3 + 2i)·(1 − i) Use the FOIL method and i² = −1 to multiply two complex numbers. Divide (1 + i) / (1 − i) Multiply numerator and denominator by the conjugate to divide two complex numbers. Divide (x³ − 1) by (x − 1) Polynomial long division reveals x − 1 as a factor of x³ − 1.