In a group of five men and four women, there are three pairs of male and female

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In a group of five men and four women, there are three pairs of male and female business partners and three teachers, where no teacher is in a business partnership. One man and one woman are selected at random. Find the probability that they are:

a. Both teachers

b. In a business partnership with each other

c. Each in a business partnership but not with each other.

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