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a) In a class of 10 students there are 4 boys and 6 girls



a) In a class of 10 students there are 4 boys and 6 girls. If a committee of 5 is to be selected at random, what is the probability that it consists of 2 boys and 3 girls? Show work and express your answer as a fraction in lowest terms.


b) What is the probability that such a committee can be selected if 2 of the boys refuse to serve together? Explain and express your answer as a fraction in lowest terms.


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