Which of the following are true:

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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