A Box contains 14 black balls 20 blue ball, 26 green balls, 28 yellow balls

A Box contains 14 black balls 20 blue ball, 26 green balls, 28 yellow balls, 38 red balls, and 54 white balls. consider the following Statement 

1. The smallest number n such that any n balls drawn from the box randomly must contain one full group of at least one color is 175
2. The smallest number m such that any m balls drawn from the box randomly must contain at least one ball of each color is 167

Which of the above statement is/are correct ?

1. 1 only
2.  2 only 
3. Both 1 and 2
4.  neither 1 nor 2

To determine which statement is correct, let’s analyze the statements and the given information:

Statement 1: The smallest number n such that any n balls drawn from the box randomly must contain one full group of at least one color is 175.

Statement 2: The smallest number m such that any m balls drawn from the box randomly must contain at least one ball of each color is 167.

Based on the analysis, the correct answer is:

3) Both 1 And 2