Question $3$: $[10$ marks: $2\mathrm{.}5$ marks each$]($Easy but Tricky$)$

Design F $=\backslash$Pi $(2,4,7,10)+$ D$(1,6,8,9)$ using a decoder, NOT gates, and a single gate of:

a$.$ OR

b$.$ NAND

c$.$ AND

d$.$ NOR