Multiple choice

If $4$ dice are rolled, then the number of ways of getting the sum $10$ is

  1. $56$
  2. $64$
  3. $72$
  4. $80$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The number of ways to get a sum of 10 with 4 dice is the coefficient of x^10 in (x + x^2 + x^3 + x^4 + x^5 + x^6)^4. This is equivalent to the coefficient of x^6 in (1 + x + x^2 + x^3 + x^4 + x^5)^4, which is 80.

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