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The number of ways in which 6 things can...

The number of ways in which 6 things can be divided
Statement-I: into 2 equal groups is 10.
Statement-II: among 2 persons equally is 20.
Which of the above statements is true.

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II true

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The number of ways in which 9 things can be divided into 3 equal groups in

    A
    `(9!)/(3!)`
    B
    `(9!)/(3!)^(4)`
    C
    `(9!)/(3!)^(3)`
    D
    `""^(9)C_(3)`
  • The number of ways can 9 things be divided equally among 3 persons is

    A
    `""^(9)P_(3)""^(6)P_(3)""^(3)P_(3)`
    B
    `(9!)/((3!)^(4))`
    C
    `(9!)/((3!)^(3))`
    D
    `(9!)/(3!)`
  • Total number of ways in which “2n' persons can be divided into ‘n’ couples is

    A
    `((2n!))/(n(2!)^(n))`
    B
    `((2n)!)/(n!(2!)^(n))`
    C
    `((2n)!)/(n(2!))`
    D
    `((2n)!)/(n)`
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