What are the values of the following expressions? ∑_(i=3)^6▒ (i^2+6) ∏_(j=1)^5▒ (j/2) 4! 0! (6¦2) C(6,2)

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(i)

$\displaystyle\sum_{i=3}^6(i^2+6)=3^2+6+4^2+6+5^2+6+6^2+6$

$=110$

(ii)

$\displaystyle\prod_{j=1}^5(i/2)=\dfrac{1(2)(3)(4)(5)}{2(2)(2)(2)(2)}=\dfrac{15}{4}$

(iii)

$4!=1(2)(3)(4)=24$

(iv)

$0!=1$

(v)

$P(6, 2)=\dfrac{6!}{(6-2)!}=6(5)=30$

(vi)

$C(6, 2)=\dfrac{6!}{2!(6-2)!}=\dfrac{6(5)}{1(2)}=15$