question archive 1)Three students from a class of twelve will form a math contest team that must include at least one boy and at least one girl

1)Three students from a class of twelve will form a math contest team that must include at least one boy and at least one girl

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1)Three students from a class of twelve will form a math contest team that must include at least one boy and at least one girl. If the difference between the number of boys and the number of girls in the class is four, how many different teams can we form?

2)a) If license numbers consist of two letters followed by three digits, how many different licenses could be created having at least one letter or digit repeated?

b) Consider license numbers of exactly three letters. Two license plates are considered identical if and only if they contain the same three letters in the same order. How many licenses are possible if the letter Q must be followed directly by the letter U?

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