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Number of signals that can be made using 2 flags out of given 4 flags.
- a)3
- b)6
- c)12
- d)4
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Number of signals that can be made using 2 flags out of given 4 flags....
No. of ways of selecting two flags out of four = 4C2
So, total possible different signals generated = 4C2×2!
⟹ 6×2=12
So, total possible different signals generated = 4C2×2!
⟹ 6×2=12
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Community Answer
Number of signals that can be made using 2 flags out of given 4 flags....
To find the number of signals that can be made using 2 flags out of 4 given flags, we can use the concept of combination.
Combination is a way to select items from a larger set without regard to the order of the items. The formula for combination is given by:
C(n, r) = n! / (r! * (n-r)!)
Where n is the total number of items and r is the number of items to be selected.
In this case, we have 4 flags and we want to select 2 flags. So, using the combination formula, we can calculate the number of signals as:
C(4, 2) = 4! / (2! * (4-2)!)
= (4 * 3 * 2 * 1) / ((2 * 1) * (2 * 1))
= 24 / (2 * 2)
= 24 / 4
= 6
Therefore, the correct answer is option 'b' - 6.
To further explain the process, let's consider the 4 flags as A, B, C, and D. We need to select 2 flags at a time.
The possible combinations of selecting 2 flags out of 4 are:
1. A and B
2. A and C
3. A and D
4. B and C
5. B and D
6. C and D
Each of these combinations represents a unique signal that can be made using 2 flags.
Hence, there are 6 different signals that can be made using 2 flags out of the given 4 flags.
Combination is a way to select items from a larger set without regard to the order of the items. The formula for combination is given by:
C(n, r) = n! / (r! * (n-r)!)
Where n is the total number of items and r is the number of items to be selected.
In this case, we have 4 flags and we want to select 2 flags. So, using the combination formula, we can calculate the number of signals as:
C(4, 2) = 4! / (2! * (4-2)!)
= (4 * 3 * 2 * 1) / ((2 * 1) * (2 * 1))
= 24 / (2 * 2)
= 24 / 4
= 6
Therefore, the correct answer is option 'b' - 6.
To further explain the process, let's consider the 4 flags as A, B, C, and D. We need to select 2 flags at a time.
The possible combinations of selecting 2 flags out of 4 are:
1. A and B
2. A and C
3. A and D
4. B and C
5. B and D
6. C and D
Each of these combinations represents a unique signal that can be made using 2 flags.
Hence, there are 6 different signals that can be made using 2 flags out of the given 4 flags.
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Number of signals that can be made using 2 flags out of given 4 flags.a)3b)6c)12d)4Correct answer is option 'C'. Can you explain this answer?
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