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Default Express 'Joined up' IF's Q

How could I express the following as a Text string

I have 3 Names in A1:A3 (Jim; Bob; Mike); in B1:B3 is a value of
either 1 or 0 (1;0;1). I wish to construct an opening statement
depending if the values in B1:B3 are 1, so for example if B1=1;B2=0
and B3=1 my opening statement would be:

Dear Jim / Mike

if B1=0;B2=0 and B3=1 my opening statement would be:

Dear Mike

if B1=1;B2=1 and B3=1 my opening statement would be:

Dear Jim / Bob / Mike

if B1=0;B2=0 and B3=0 my opening statement would be:

<blank

I have 5 names in total so haven't put all the permutations above,
perhaps there is not an easy way to do this
 
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