(a)if (c∧b)→r and ¬b→¬p, then (¬r∧p)→¬c
"If my computations are correct and I pay the electric bill, then I will run out of money. If I don't pay the electric bill, the power will be turned off. Therefore, If I don't run out of money and the power is still on then my computations are incorrect."
(b)if (c∨b)→r and ¬b→¬p, then (r∧p)→c
"If my computations are correct or I pay the electric bill, then I will run out of money. If I don't pay the electric bill, the power will be turned off. Therefore, If I run out of money and the power is still on then my computations are correct."
(c)if (c∧b)→r and ¬p→¬b, then (¬r∨p)→¬c
"If my computations are correct and I pay the electric bill, then I will run out of money. If the power turned off then i will not pay the electric bill. Therefore, If I don't run out of money or the power is still on then my computations are incorrect."
(d)if (c∨b)→r and ¬b→¬p, then (¬r∧p)→¬c
"If my computations are correct or I pay the electric bill, then I will run out of money. If I don't pay the electric bill, the power will be turned off. Therefore, If I don't run out of money and the power is still on then my computations are incorrect."
Hence,Option(A)if (c∧b)→r and ¬b→¬p, then (¬r∧p)→¬c.