Challenges on Operations on Factorials

Q. Find the value of $6!?$

1. $120$
2. $60$
3. $720$
4. $580$

Q. Write the product $5\times 6\times 7\times 8\times 9$ in factorial notation.

1. $\frac{9!}{4}$
2. $\frac{9}{4!}$
3. $\frac{9!}{4!}$
4. $\frac{9}{4}$

Q. For which of the values of $n,$ $(n-4)!$ is defined?

1. $3$
2. $4$
3. $5$
4. $6$

Q. Find the value of $0\times \frac{3}{4}!$ .

1. $0$
2. $\frac{3}{4}$
3. Not defined
4. None of the above

Q. $\frac{10!}{8!}$ is simplifies to .

Q. Find the value of $\frac{8!}{(8-3)!\times 3!}?$

1. $42$
2. $6$
3. $336$
4. $56$

Q. For which of the following value(s) of $n$, $(\frac{6}{n})!$ will be defined?

1. $1$
2. $2$
3. $3$
4. $4$
5. $6$

Q. Match the values on the left hand side with their respective values on the right hand side.

1. $\frac{1}{2}$
2. $\frac{1}{6}$
3. $60$
4. $110$