Preliminary exam CSAT September 13, 2024

1. A box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls. Consider the following statements:

  1. The smallest number n such that any n balls drawn from the box randomly must contain one full group of at least one colour 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 colour is 167.

Which of the above statements is/are correct?