Collection of medicinal plants
A pensioners' club organised a collection of medicinal plants. Two pensioners could not participate in the collection for health reasons, the others decided to collect dead-nettle, elder, and coltsfoot. All three herbs were collected by 7 pensioners, dead-nettle and also elder by 15 pensioners, dead-nettle and also coltsfoot by 12 pensioners. Coltsfoot was collected by 21, elder by 23, as was dead-nettle. Elder or coltsfoot was collected by 31 pensioners. Determine: What percentage of the club's pensioners took part in the collection action? How many pensioners collected elder and also coltsfoot? What is the probability that a randomly selected pensioner collected coltsfoot and at the same time did not collect dead-nettle?
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