For all integers $y>1, \: \langle y \rangle = 2y+(2y-1)+(2y-2) + \dots +1$.
What is the value of $\langle 3 \rangle \times \langle 2 \rangle $? Where $\times$ is a multiplication operator?
Option B is the correct answer
<y> is simply the sum of the natural numbers till 2y, starting from 1
i.e. <y> = 1+2+3+4+..........+2y
so <3> = 1+2+3+........+2*3 = 1+2+3+4+5+6 = 21
and <2> = 1+2+3+4 = 10
hence <3>*<2> = 21*10 = 210