Question

$5$ different object are t be distributed among $3$ person such that no two person get the same number of object. Number of ways this can be done is

• A. $60$
• B. $90$
• C. $120$
• D. $150$

Answer 1

Answer: (A)

$60$

Let the three person be $A,B$ and $C.$Different ways in which $5$ objects can be distributed among them such that none of them gets the same no$:$ of object$.$

$ABC$

$032=3!=6$

$320=3!=6$

$023=3!=6$

$203=3!=6$

$302=3!=6$

$140=3!=6$

$104=3!=6$

$401=3!=6$

$410=3!=6$

$014=3!=6$

$\therefore$ Total no$:$ of ways $=6\times 10=60$ ways$.$