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JEE Math Practice Question

One ticket is selected at random from $$50$$ tickets numbered $$00, 01, 02, ...., 49.$$ Then the probability that the sum of the digits on the selected ticket is $$8$$, given that the product of these digits is zer, equals :

  1. A.$${1 \over 7}$$
  2. B.$${5 \over 14}$$
  3. C.$${1 \over 50}$$
  4. D.$${1 \over 14}$$

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