Question
How many five-digit numbers formed using the digit 0, 1, 2, 3, 4, 5 are divisible by 5 if digits are not repeated?
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$\frac{1}{x}+\frac{1}{y}=\frac{3}{2}, \quad \frac{1}{y}+\frac{1}{z}=\frac{5}{6}, \quad \frac{1}{z}+\frac{1}{x}=\frac{4}{3}$
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$x_i$
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$5$
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$7$
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$9$
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$10$
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$12$
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$15$
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$f_i$
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$8$
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$6$
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$2$
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$2$
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$2$
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$6$
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