Question

A store has a total of M balls in stock. Exactly three of them are blue. There may be up to five additional balls, each a different color from any of the others. The M balls are picked up one at a time and placed in a row in the order in which they are selected. If at least 20 different rows of balls can be formed, then which of the following are possible values of M?

Answer 1

Answer:

8 balls, 7 balls, 6 balls, 5 balls, 4 balls

Step-by-step explanation:

Since there are three blue balls & there maybe five additional balls with different colors, then the three balls can be taken as a single unit during arrangement/combination.

If the number of other balls with different colors aside blue is 5, the value of M will be 8.

If the number of other balls with different colors aside blue is 4, the value of M will be 7.

If the number of other balls with different colors aside blue is 3, the value of M will be 6.

If the number of other balls with different colors aside blue is 2, the value of M will be 5.

If the number of other balls with different colors aside blue is 1, the value of M will be 4.