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Q.
The number of ways is which $3$ identical balls can be distributed into $7$ distinct bins is
TS EAMCET 2019
Solution:
Given,
$3$ identical balls can be distributed into $7$ distinct bins. i.e
$x_{1}+x_{2}+x_{3}+x_{4}+x_{5}+x_{6}+x_{7}=3$
$\therefore $ Total number ways :
$^{7+3-1} C_{7-1}={ }^{9} C_{6}=84$