The number of ways of distributing eight identical rings to three different girls so that every girl gets at least one ring is

Step-by-step solution

We know that the probability of selection of r objects out of n distinct objects when p objects are always selected is C r - p n - p . Here, n = 8 ,   r = 3 ,   p = 1 The number of ways of distributing eight identical rings to three different girls so that every girl gets at least one ring is C 3 - 1 8 - 1 . ⇒ C 2 = 7 7 ! 5 ! × 2 ! = 21 ways.