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A bag contains balls colored in the 7 different colors of the rainbow (all of the balls are the same size). What is the minimum number of balls one needs to pick out of the bag in order to definitely get three same-colored balls.

Respuesta :

valerieulbrich

Answer:

15

Step-by-step explanation:

The minimum number of balls one needs to pick out of the bag in order to definitely get three same-colored balls is 15.

We have a bag that contains balls of same size coloured in seven different colors of rainbow.

We need to find the minimum number of balls one needs to pick out of the bag in order to definitely get three same-colored balls.

What are the seven colors of rainbow?

The seven colors of rainbow are Red, orange, yellow, green, blue, indigo, violet.

In order get the same three colored balls -

  1. One should first take out seven balls out of the bag - The seven balls took out could probably be the balls of seven different colors giving us one ball of each colour.
  2. After this another set of seven balls should be taken out of the bag - The another set could probably contain the balls of seven different colors.

After first two steps, we will could probably at least have two balls of same color.

    3. In order to find the minimum number of balls - One ball should be taken out of the bag, which could probably be the colour of which two balls we have might have probably acquired after following the steps 1 and 2.

Total number of balls = 7 + 7+ 1 =15

Hence, the minimum number of balls one needs to pick out of the bag in order to definitely get three same-colored balls is 15.

To solve more questions on Conditional arrangements, visit the link below -

https://brainly.com/question/16106499

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