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11 questions · timed · auto-graded

MCQ 21 Mark
How many terms are there in the expansion of $(x+a)^{n-1}$ ?
  • $n$
  • B
    $n-2$
  • C
    $n+1$
  • D
    $n+2$
Answer
Correct option: A.
$n$
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MCQ 41 Mark
Find the value of ${ }^{ n } C _{ 0 }+{ }^n C _{ n }.....$
  • A
     $0$
  • B
    $1$
  • $2$
  • D
    $2n$ 
Answer
Correct option: C.
$2$
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MCQ 51 Mark
Which of the following is equivalent to ${ }^{ n } C _{ r } ?$
  • A
    $\frac{ n !}{( n - r )!}$
  • ${ }^{ n } C_{n-r}$
  • C
    $^{ n } C_{r-1}$
  • D
    $ \frac{ n C_{r+1}}{ r }$
Answer
Correct option: B.
${ }^{ n } C_{n-r}$
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MCQ 61 Mark
In usual notations, which of the following relation between permutation and combination is true ?
  • A
    $  { }^n C_r={ }^n P_r Xr$ !
  • B
    $ { }^n P_r={ }^n C_r+r!$
  • C
    $ { }^n P_r=\frac{n C_r}{r!}$
  • $ { }^n C_r=\frac{n P_r}{r!}$
Answer
Correct option: D.
$ { }^n C_r=\frac{n P_r}{r!}$
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MCQ 71 Mark
What is $n!$ ?
  • A
    Multiplication of $0$ to $n$ natural numbers
  • B
    Multiplication of $1$ to $n - r$ natural numbers
  • Multiplication of $1$ to $n$ natural numbers
  • D
    Multiplication of $1$ to $n$ natural numbers
Answer
Correct option: C.
Multiplication of $1$ to $n$ natural numbers
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MCQ 81 Mark
If the first action can be done in $m$ ways and second action can be done in $n$ ways then in how many ways can both the actions be done together?
  • $ m n$
  • B
    $\frac{m}{n}$
  • C
    $m-n$
  • D
    $m+n$
Answer
Correct option: A.
$ m n$
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MCQ 91 Mark
A ride in a fun fair has $8$ seats. In how many ways can $3$ persons be arranged in this ride ?
  • A
    $ { }^{8} C_{3} $
  • B
    $ { }^{3} P_{8} $
  • C
    $ { }^{3} C_{8} $
  • $ { }^{8} P_{3} $
Answer
Correct option: D.
$ { }^{8} P_{3} $
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MCQ 101 Mark
State the last term in the expansion of $(x+a)^n$.
  • $a^n$
  • B
    $a^{n-1}$
  • C
    $x^0$
  • D
    $x^{n-1}$
Answer
Correct option: A.
$a^n$
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MCQ 111 Mark
In one $A$ group there are $m$ distinct things and in the other group there are $n$ distinct things. In how many ways can one things be selected from both the groups ?
  • A
    $mn$
  • B
    $\frac{m}{n} $
  • C
    $m – n$
  • $m + n$
Answer
Correct option: D.
$m + n$
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MCQ - Statistics STD 11 Commerce Questions - Vidyadip