1) In how many ways can 10 pencils (identical) be distributed among 5 children if a) there are no restrictions? b) each child gets at least 1 pencil? c) the oldest child gets at least 2 pencils?
2) How many arrangements of the letters in MISSISSIPPI have no consecutive S' s?
3) In how many ways can a gambler draw 5 cards from a standard deck and get a) a flush (five cards of the same suit) ? b) four aces? c) four of a kind? d) three aces and two jacks e) three aces and a pair? f) a full house (three of a kind and a pair) ? g) three of a kind? h) two pairs?
Please help me to understand this topic because I am very new at this. If you solve them please explain them in some detail or steps. Thanks in advance.