The numbers will be divisible by 6 if and only if the unit digit of numbers is an even number and the sum of digits is divisible by 3 . Collection of 4 -digits whose sum is divisible by 3 . ‌(1236)⟶..........2‌ or ‌6⟶3×2×1×2=12 ‌(1245)⟶.......2‌ or ‌4⟶3×2×1×2=12 ‌(1356)⟶.........6⟶3×2×1×1=6 ‌(2346)⟶..........2‌ or ‌4‌ or ‌6⟶ ‌3×2×1×3=18 ‌(3456)⟶.......4‌ or ‌6⟶3×2×1×2=12 ‌‌ Total ‌=12+12+6+18+12=60 ∴ The number of numbers which are divisible by 4 are 60 .