Question

Consider the following statements.
I. The continued product of first $n$ natural numbers is called the permutation.
II. L.C.M of $4 !, 5 !$ and $6 !$ is $720$ .
Choose the correct option.

• A. Only I is true.
• B. Only II is true.
• C. Both are true.
• D. Both are false.

Answer 1

Answer: (B)

I. The continued product of first n natural numbers is called the 'n factorial'.
II. $5 !=5 \times 4 !$
$6 !=6 \times 5 \times 4 ! $
$\therefore $ L.C.M. of $ 4 !, 5 !, 6 ! $
$=$ L.C.M. $[4 !, 5 \times 4 !, 6 \times 5 \times 4 !] $
$=4 ! \times 5 \times 6=6 !=720$