Question:
Which of the following are true:
(i) (2 +3)! = 2! + 3!
(ii) (2 × 3)! = 2! × 3!
Solution:
(i) LHS = (2 +3)!
= 5!
= 120
RHS = 2! + 3!
= 2 + 6
= 8
Since LHS ≠ RHS,
Thus, (i) is false.
(ii) LHS = (2 × 3)!
= 6!
= 720
RHS = 2! × 3!
= 2 × 6
= 12
LHS ≠ RHS
Thus, (ii) is false.
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