Sample Primary and Junior Problems

List all the 3-digit numbers for which the product of the digits is

b, e, n, and t, that is { b , e , n , t }

**Problem 1:**List all the different ways in which**$2.35**change can be given in**exactly seven coins.****Problem 2:**526 is a 3-digit number. The product of its digits is 60 (5 x 2 x 6 = 60).List all the 3-digit numbers for which the product of the digits is

**24**.**Problem 3:**List all of the different 3-letter arrangements that can be made from the letters of the word “bent”.**Problem 4:**List all the different 3-member subsets that can be made from the set consisting of the lettersb, e, n, and t, that is { b , e , n , t }

**Problem 5:**Show all the different ways of selecting one of the sixteen small squares in

the diagram below. Two selections are NOT different if one can be rotated to

match the other.

**Problem 6:**(Chance Processes).Famous Footballer cards are produced by Kolleggs, the makers of the breakfast

cereal, Brekky Bites. There are 100 cards in the whole series. Kolleggs put 5 cards in each large

packet of Brekky Bites. You can also buy the cards in packs of 50.

One million cards of each footballer were printed. The whole supply of cards was then thoroughly

mixed before the cards were put in the packs and into the packets of Brekky Bites.

Suppose you buy a 50-pack of the cards. On average, for how many footballers would you get 0

cards?