Question

Number of ways in which $5$ identical objects can be distributed in $8$ persons such that no person gets more than one object is

• A. $8$
• B. ${}^8{C}_5$
• C. ${}^8{P}_5$
• D. None of these

Answer 1

The correct option is B ${}^8{C}_5$

Each person can get either $1$ object or o object.

$\therefore$ Number of ways of distributing $5$ identical objects in $8$ person such that no person gets more than one object$={}^8{C}_5$.