$\"\"$

Number of shirts = 8. \ \

Number of days = 5.

Number of possible arrangements of shirts are possible for those 5 days is $\"\"$

The permutation formula is $\"\"$ .

$\"\"$ (Apply permutation formula)

$\"\"$ (Subtract denominator: $\"\"$ ) $\"\"$

$\"\"$ (Expand factorials)

$\"\"$

$\"\"$ (Cancel common terms)

$\"\"$ (Multiply: $\"\"$ ) $\"\"$

The number of possible arrangements of shirts are possible for those 5 days is $\"\"$ .