1.
If $3{}^nP_3={}^nP_4$ then value of n is:
2.
The expression $\frac{(n - 1)!(n - 2)!}{(n!)^2}$ reduced to
3.
$n$ different objects taken all at a time can be arranged in:
4.
If $^nC_r = ^nC_q$, which of the following must be true:
5.
If $n$ is a negative integer then $n!$ is
6.
5 persons can be seated at a round table in how many ways?
7.
${}^nC_r$ is valid only if
8.
If ${}^nC_4={}^nC_{10}$ then value of $n$ is;
9.
Factorial form of $n(n - 1)(n - 2) = ?$
10.
The value of $n$ when $^{11}P_n = 11 \cdot 10 \cdot 9$ is:
11.
factorial form of $n(n^2-1)=?$
12.
${}^nC_r \times r!$=________?
13.
The product of r consecutive positive numbers in divisible by:
15.
The number of permutations of the word "ANAMA" is:
16.
If $n$ is a positive integer, then factorial of $n$ is denoted by ---
17.
The value of $n$ if $^nC_{10} = \frac{12 \times 11}{2!}$:
18.
Number of words that can be formed from the letters of the word "PLANE'' using all letters at a time is equal to:
19.
If ${}^{15}C_{3r}={}^{15}C_{r+3}$ then value of $r$ is:
20.
The total number of 6-digit numbers in which all the odd and only odd digit appear is
21.
${}^nC_{n-r}$ is equal to:
22.
The value of $\frac{4!}{0!}$ is
23.
From $A=\{1,3,5,7,9\}$ and $B=\{2,4,6,8\}$ if a Cartesian product $A \times B$ is chosen, then number of ways that $a+b=9$;
24.
$^nP_r$ is equal to (where $n > 0$, $r > 0$):
25.
Let $A=\{1,2,3,...,20\}$ Find the number of ways that the integer chosen is a prime number.
26.
$\frac{n!}{r!(n-r)!}$ is equal to:
27.
If $r=n$, ${}^nC_r$ is equal to ________
28.
The value of $4! \cdot 0! \cdot 1!$ is
29.
${}^nC_{r}={}^nC_{n-r}$ is useful when
30.
Factorial notation was introduced by
31.
Number of ways of arranging 5 keys in a circular ring is:
32.
If $r = n$, then $^nP_r$ equals:
33.
$(n - 1)(n - 2)(n - 3) \ldots (n - r + 1) = ?$
35.
The number of ways in which $r$ letters can be posted in n-letter boxes in a town in;
36.
If $^nC_5 = ^nC_4$, then $n$ is equal to:
37.
A student has to answer 10 out of 12 questions in an examination such that he must be choose at least 4 from first 5 questions. The nature of choice is:
38.
The factorial form of $\frac{10.9}{2.1}$ is
39.
Circular permutation of $n$ non-living things is given by:
40.
Factorial form $\frac{(n+1)(n)(n - 1)}{3 \cdot 2 \cdot 1}$ is
41.
The value of permutation $^{20}P_3$ is:
42.
${}^nC_r + {}^nC_{r-1}=?$
43.
$\frac{^nP_r}{r!}$ is equal to:
44.
In how many ways a cricket team of 11 players out of 15 can be selected if the captain must be included in each way:
45.
Number of ways of arrangements of the word $\textbf{GARDEN}$
