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Statistics MCQ

Permutations , combinations and binomial expansion · Gujarat Board (GSEB) STD 11 Commerce (GSEB - English Medium). 11 questions.

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11 questions · timed · auto-graded

MCQ 11 Mark
State the value of $\frac{{ }^{" P_3}}{}{ }^{" C_3}$.
  • ✓
    $3$
  • B
    $\frac{1}{6}$
  • C
    $2$
  • D
    $\frac{1}{3}$
Answer
Correct option: A.
$3$
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MCQ 21 Mark
State the value of ${ }^n C_1={ }^n P_n -$
  • A
    $n !$
  • B
    $(n-1) !$
  • C
    $\frac{1}{n !}$
  • ✓
    $\frac{1}{(n-1) !}$
Answer
Correct option: D.
$\frac{1}{(n-1) !}$
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MCQ 41 Mark
How many arrangements can be made using all letters of the word $ZOO$ ?
  • A
    $6$
  • ✓
    $3$
  • C
    $4$
  • D
    $9$
Answer
Correct option: B.
$3$
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MCQ 51 Mark
What is the value of $6 !$ ?
  • A
    $120$
  • B
    $6 \times 5$
  • ✓
    $6 \times 5$ !
  • D
    $6 \times 5 \times 4 \times 3$
Answer
Correct option: C.
$6 \times 5$ !
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MCQ 61 Mark
In usual notations of Permutation and Combination, what is the mathematical relation between $n$ and $r$ ?
  • A
    $n+r=0$
  • B
    $n$
  • ✓
    $n \geq r$
  • D
    $n \leq r$
Answer
Correct option: C.
$n \geq r$
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MCQ 71 Mark
How many two digit numbers can be formed using all the digits of the number $108$ ?
  • ✓
    $4$
  • B
    $6$
  • C
    $2$
  • D
    $8$
Answer
Correct option: A.
$4$
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MCQ 81 Mark
Certain number of employees are working in an office. The total number of hand shakes are $36$ when each employee shakes hand with the other employees. Find the number of employees working in the office.
  • A
    $12$
  • ✓
    $9$
  • C
    $8$
  • D
    $6$
Answer
Correct option: B.
$9$
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MCQ 101 Mark
In how many ways can a pizza and a cold drink be selected out of $5$ types of pizza and $4$ types of cold drinks ?
  • A
    $5$
  • B
    $4$
  • C
    $9$
  • ✓
    $20$
Answer
Correct option: D.
$20$
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MCQ 111 Mark
Company $X$ manufactures cars of two models in $5$ colours. Company $Y$ manufactures cars of two models in $4$ colours. In how many ways can a person select one car from these cars ?
  • A
    $120$
  • ✓
    $18$
  • C
    $9$
  • D
    $20$
Answer
Correct option: B.
$18$
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