Questions
The coefficient of in the expansion of is
a
6
b
60
c
61
d
None of these
detailed solution
Correct option is B
In this case, we write a3b4c5=(ab)x(bc)y(ca)z⇒a3b4c5=az+x⋅bx+y⋅cy+z⇒z+x=3,x+y=4,y+z=5 .....(1)On adding these equations, we get ∴2(x+y+z)=12x+y+z=6.......(2)On solving Eqs. (i) and (ii), we getx=1,Y =3 ,Z =2 Therefore, the coefficient of a3b4c5in the expansion of(bc+ ca+ ab)6The coefficient of (ab)1(bc)3(ca)2 in the expansion of (bc+ca+ab)6 =6!1!3!2!=60Talk to our academic expert!
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