Question: a) In how many ways can one select two positive integers m,n, not necessarily distinct, so that 1 < m < 100, 1 < n

a) In how many ways can one select two positive integers m,n, not necessarily distinct, so that 1 < m < 100, 1 < n < 100 and the last digit of 7m + 3n is 8?
b) Answer part (a) for the case where l < m < 125, 1 < n < 125.
c) If one randomly selects m, n [as in part (a)], what is the probability that 2 is now the last digit of 7m + 3n?

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a For each t N 7 4t 1 7 mod 10 3 4t 1 3 mod 10 7 4t 2 9 mod 10 3 4t 2 9 mod 10 7 4t 3 3 mod 10 3 4t ... View full answer

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