UPSC Minimum possible ball selection

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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 ?
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

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