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Question
What are the numbers of ways in which 5 similar balls will be put in 4 distinct baskets when the second basket has exactly 2 balls?
What are the numbers of ways in which 5 similar balls will be put in 4 distinct baskets when the second basket has exactly 2 balls?
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Solution
The correct option is B 10
Let’s number the baskets as A,B,C and D
With the first constraint, 2 of the balls are going to basket 2(B), hence we have 5-2=3 balls left to distribute among the remaining baskets.
A+C+D = 3
Number of distributions possible = 5C2 = 10
Let’s number the baskets as A,B,C and D
With the first constraint, 2 of the balls are going to basket 2(B), hence we have 5-2=3 balls left to distribute among the remaining baskets.
A+C+D = 3
Number of distributions possible = 5C2 = 10
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