A Mathematics teacher has 10 different posters to pin up in their classroom but there is enough

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A Mathematics teacher has 10 different posters to pin up in their classroom but there is enough space for only five of them. They have three posters on algebra, two on calculus and five on trigonometry. In how many ways can they choose the five posters to pin up if:

a. There are no restrictions

b. They decide not to pin up either of the calculus posters

c. They decide to pin up at least one poster on each of the three topics algebra, calculus and trigonometry?

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