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0 votes
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in Discrete Mathematics by (46.9k points)
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In the set of integers with operation * defined by a * b = a + b – ab, the value of 3 * (4 * 5) is …

(a) 25 

(b) 15 

(c) 10 

(d) 5

1 Answer

+1 vote
by (49.1k points)
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Best answer

(a) 25

a * b = a + b – ab 

3 * (4 * 5) = 3 * (4 + 5 – 4(5)) 

= 3 * (9 – 20) 

= 3 * (-11) 

= 3 + (-11) – 3(-11) 

= 3 – 11 + 33 

= -8 + 33 = 25

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