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STATEMENT -1 : No. of ways of distributi...

STATEMENT -1 : No. of ways of distributing 20 different things equally among 5 persons = `20!//4!^(5)`.
STATEMENT -2: No. of ways of distributing 20 different things equally among 5 persons = `20!//4!^(5).5!` .
STATEMENT-3 : No. of ways of distributing 20 different things in 5 groups such that in three group there are 6 things each and in remaining two groups there is 1 thing each = `(20!)/((6!)^(3))` .

A

T F T

B

T T F

C

F T T

D

T T T

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The total number of ways of dividing mn things into n equal groups, is

    A
    `((mn)!)/(m!n!)`
    B
    `((mn)!)/((m!)^(m)n!)`
    C
    `((mn)!)/((m!)^(n)n!)`
    D
    none of these

  • If 3n different things can be equally distributed among 3 persons in k ways, then the number of ways to divide the 3n things in 3 equal groups is:

    A
    `kxx3!`
    B
    `(k)/(3!)`
    C
    `(3!)k`
    D
    `3k`

  • STATEMENT -1: The number of ways in which six different objects can be divided equally into 2 sets is 10. STATEMENT -2 , The number of ways in which six different objects be distributed equally among two persons is 20.

    A
    Statement-1 is true ,statement -2 is true , statement -2 is a correct explanation for statement -1
    B
    Statement -1 is true , statement -2 is true , statement -2 is NOT a correct explanation for statement -1
    C
    Statement -1 is true , statement -2 is false
    D
    Statement -1 is false , statement -2 is true