The value of the determine : Δ=∣∣∣∣1!2*2!3!2!3*3!4!3!4*4!5!∣∣∣∣ is
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Δ=1[(6)(120)−(24)(24)]−2[(2)(120)−(6)(24)]+6[(2)(24)−(6)(6)]
Δ=1[720−576]−2[240−144]+6[48−36]
Δ=1(144)−2(96)+6(12)
Δ=144−192+72
Δ=24
Δ=4!
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