Homework Answers
To calculate the probabilities, we need to calculate the total number of ways in which 12 coins can be distributed among the 5 beggars.
Following formula can be used to calculate the number of ways:
Where,
n = number of coins
r = number of beggars
A.
We need to find the probability that beggars get 4,2,0,5 and 1 coins respectively. It is clear that distributing coins like this is one of the ways of distributing coins.
B.
We need to distribute 12 coins in such a way that every beggar gets at least 2 coins. After distributing 2 coins to every 5 beggars, there are still 2 coins left.
The number of ways with which the remaining two coins can be distributed among 5 beggars can be calculated as follows:
C.
We need to distribute coins in such a way that no beggar goes empty-handed. After distributing at least 1 coin to each beggar and 7 coins are remaining.
The number of ways with which the remaining 7 coins can be distributed among 5 beggars can be calculated as follows:
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