How many signopost can be made using 6 different coloured symbols when any number of any of them posted at one time
Answers
Answer:
The answer is 1956
Step-by-step explanation:
Given that any number of flags can be hoisted at a time. Hence we need to find out number of signals that can be made using 1 flag, 2 flags, 3 flags, 4 flags, 5 flags and 6 flags and then add all these.
Number of signals that can be made using 1 flag
= 6P1
=
6
=6
Number of signals that can be made using 2 flags
= 6P2
=
6
×
5
=
30
=6×5=30
Number of signals that can be made using 3 flags
= 6P3
=
6
×
5
×
4
=
120
=6×5×4=120
Number of signals that can be made using 4 flags
= 6P4
=
6
×
5
×
4
×
3
=
360
=6×5×4×3=360
Number of signals that can be made using 5 flags
= 6P5
=
6
×
5
×
4
×
3
×
2
=
720
=6×5×4×3×2=720
Number of signals that can be made using 6 flags
= 6P6
=
6
×
5
×
4
×
3
×
2
×
1
=
720
=6×5×4×3×2×1=720
Therefore, required number of signals
=
6
+
30
+
120
+
360
+
720
+
720
=
1956
sorry this is too long and I can't send it properly step by step.... hope it's helpful for you dude :-)
Answer:
There can be 6 ways
Step-by-step explanation:
i.e 430 ways