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Disorganized Dave has a bunch of bills in his wallet in no particular order. He has one $\$20$ bill, two $\$10$ bills, three $\$5$ bills and four $\$1$ bills.

If he reaches into his wallet and randomly pulls out two bills, what is the probability that the value of the two bills totals $\$25$?

A

$\dfrac{3}{100}$

B

$\dfrac{1}{30}$

C

$\dfrac{1}{15}$

D

$\dfrac{3}{10}$

E

$\dfrac{2}{5}$

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