A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What will be the remainder when nm is divided by 6?	Choose one.
A) 2 B) 1 C) 0 D) 3 E) 4
n = 9x + 6   m = 12y + 4   nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24   Remainder of nm/6 = (108xy + 36x + 72y + 24)/6   Observe that the first three terms are a multiple of 6   hence there will be no remainder   0orrect Option: 0
<result>C</result>
A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What will be the remainder when nm is divided by 6?