Operations on Factorials

Q.

Let $A=\left\{a,b,c\right\}$ and $B=\left\{1,2\right\}$. Consider a relation $R$defined from set $A$ to set $B$.Then $R$is equal to set

1. $A$

2. $B$

3. $A\times B$

4. $B\times A$

Q.

Tick the correct answer :

Which of the following product is a positive integer:

1. $-2\times 3$

2. $(-2)\times (-3)$

3. $2\times (-3)$

4. None of these

Q. Which of the following has/have the value equal to the value of $3!?$

1. $\frac{6!}{2!}$
2. $(\frac{6}{2})!$
3. (a) and (b) above.

Q. $\frac{(n+1)!}{n!}$ simplifies to

1. $n$
2. $(n+1)$
3. $(n-1)$
4. $\frac{(n+1)}{n}$

Q. The value of the expression $\frac{8!}{(6-2)!\times 2!}$ is

Q. Oliver writes $4!-2!$ as $(4-2)!,$ is he right in his approach?

1. Yes
2. No

Q. Which of the following has(have) value(s) equal to the value $2!?$

1. $5!-3!$
2. $(5-3)!$
3. $2$
4. $21$

Q.

Tick only one option. Which of the following is equal to $-6?$

1. $2+4$

2. $-3-9$

3. $+3-9$

4. $3-(-9)$