(i) In how many ways can 5 different books be distributed among 10 people if each person can get any number of books?
(ii) How many 4 digit numbers greater than 2500 can be formed from digits 0,1,2,3 and 4 if no digit can be used more than once?
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Answer:
(i) View it as each book has a choice of which person to go to.
So each book has 10 choices since each person can get any number of books
Hence, number of ways = 105 = 100000
(ii) First digit must be 3 or 4, i.e. 2 choices
The next 3 digits can be any number other than the first digit.
So 2 * 4 * 3 * 2 = 48
