Pegs are to be placed in the four holes shown, one in each hole. The pegs come in different colours and pegs of the same colour are identical. Calculate how many different arrangements of coloured pegs in the four holes can be made using
a) 6 pegs, all of different colours,
b) 4 pegs consisting of 2 blue pegs, 1 orange peg and 1 yellow peg.
Beryl has 12 pegs consisting of 2 red, 2 blue, 2 green, 2 orange, 2 yellow and 2 black pegs. Calculate how many different arrangements of coloured pegs in the 4 holes Beryl can make using
c) 4 different colours,
d) 3 different colours,
e) any of her 12 pegs.
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