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In the United States, any licensed prescriber of controlled substances is issued a DEA number in the format stxxxxxxx, where o s denotes one of the seven letters in the set {A, B, F, G, M, P, R} t can be any of the 26 letters of the alphabet, or the digit 9 e x is any digit Assume that any string in this form is a valid DEA number. Let P(n) be the statement The first character of DEA number n is a consonant, and Q(n) be the statement The last digit of DEA number n is even (a) Compute the number of DEA numbers which make each of the following statements true . P(n) VQ(n) of DEA numbers which make P(n) V Q(n) true? Explain why. number of DEA numbers which make each of the following statements true: (b) Which is easier to compute: the number of DEA numbers which make P(n) л Q(n) true, or the number (c) Based on your answer to part (b) and your knowledge of DeMorgans Law, compute efficiently the

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