The electronic configuration of an element T is 2,8,8,1.
(a)What is the group number to T?
(b)What is the period number to T?
(c)How many valence electrons are there in an atom of T?
(d)What is the valency of T?
(e)Is it a metal or non metal?

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Element T has electronic configuration 2, 8, 8, 1 :  this means 
  1s²   2s²  2p²  3s² 3p⁶  4s¹  

Since the number of electrons in the outer most shell (n = 4) is 1, it belongs to group 1.

Its outermost shell number is 4.  SO period is 4.

There are 1 electrons in the outer most shell ->  valence electrons = 1

Valency = 1

It is a metal.  Because it ready to give away that electron to an acceptor.  
 In fact it is Potassium denoted by K ( atomic number 19).