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Question: Let 20 distinct balls have been randomly distributed in to 4 distinct boxes, 5 into each. Let 'A' b...

Let 20 distinct balls have been randomly distributed in to 4

distinct boxes, 5 into each. Let 'A' be the event that two

specific balls have been put into a particular box. The

probability of occurence of event 'A' is :

A

119\frac { 1 } { 19 }

B

419\frac { 4 } { 19 }

C

819\frac { 8 } { 19 }

D

219\frac { 2 } { 19 }

Answer

119\frac { 1 } { 19 }

Explanation

Solution

18C320C5\frac { { } ^ { 18 } \mathrm { C } _ { 3 } } { { } ^ { 20 } \mathrm { C } _ { 5 } } = 5×420×19\frac { 5 \times 4 } { 20 \times 19 } = 119\frac { 1 } { 19 }