How many arrangement can be made from letters v,w,x,y,z taking all letters at a time if v must be second and z can never be last

Question

How many arrangement can be made from letters v,w,x,y,z taking all letters at a time if v must be second and z never be last

Answer 1

There are 18 arrangements:

 

WVZXY

WVZYX

WVYZX

WVXZY

 

With X 1st and Y 1st you get similar

sets of 4 possibilities each so 8 more

 

Putting Z in place 1 and V in place 2

gives us W,X,Y to occupy the last

3 spaces with no restrictions on their

placements therein.  This results in

6 possible arrangements with Z in

place 1 and V in place 2

 

ZVWXY

ZVWYX

ZVXWY

ZVXYW

ZVYWX

ZVYXW

 

Total arrangements possible = 18