The number of different signals which can be given from 6 flags of different colors taken one or more at a time is?
a) 1958
b) 1956
c) 1976
d) 1964
e) 1948
a) 1958
b) 1956
c) 1976
d) 1964
e) 1948
This question requires finding not just the number of permutations one can create with the six flags together but also the number of permutations one can create with fewer than six flags.nahid078 wrote:The number of different signals which can be given from 6 flags of different colors taken one or more at a time is?
a) 1958
b) 1956
c) 1976
d) 1964
e) 1948
1 Flag At A Time
6 Signals
2 Flags At A Time
6 x 5 = 30 Signals
3 Flags At A Time
6 x 5 x 4 = 120 Signals
4 Flags At A Time
6 x 5 x 4 X 3 = 360 Signals
5 Flags At A Time
6 x 5 x 4 X 3 x 2 = 720 Signals
6 Flags At A Time
6 x 5 x 4 X 3 x 2 x 1 = 720 Signals
So we get 6 + 30 + 120 + 360 + 720 + 720 = 1956 Unique Signals
Choose b.
