What is the value of the determinant | array lll 1! & 2! & 3! 2! & 3! & 4! 3! & 4! & 5! array | ?

Step-by-step solution

| array lll 1! & 2! & 3! 2! & 3! & 4! 3! & 4! & 5! array | Taking 2! common from C₂ and 3 ! common from C₃ 2! 3! | array ccc 1 & 1 & 1 2 & 3 & 4 6 & 12 & 20 array | On expanding, we get aligned & 12 [1(60-48)-1(40-24)+1(24-18)] & =12 [12-16+6] & =12 2=24 aligned