SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: The reflection of the letter A in a mirror is also A. How many three-lettered combinations of such similar reflections of letters is possible?


A ) 1331
B ) 2600
C ) 2100
D ) 1247

Steps to derive

1 Alphabets having the reflections same as that of itself are (A, H, I, M, O, T, U, V, W, X, Y), which are 11 in number.

2 Number of choices for each letter in a three-lettered word = 11

3 By counting principle,
1st letter     2nd letter     3rd letter
    11      x      11      x       11    =    1331

4 There are 1331 three-lettered combinations of letters possible.



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • Choose the coordinates of the point P (7, 0) in original system, when the original system ..
  • Choose the coordinates of the point P (0, 10) in the original system, when the original sy..
  • Choose the conic, which is represented by the equation x2 - xy + y2 = 2 when it is rotated..
  • The transformed equation of a conic after the axis are rotated through some angle is given..
  • Choose the angle to which the axes are to be rotated to remove the x' y' - term in the t..
  • Choose the angle to which the axes are to be rotated to remove the x' y'-term in the trans..
  • Choose the angle to which the axes are to be rotated to remove the x' y' - term in the tra..
  • Choose the angle to which the axes are to be rotated to remove the x' y' - term in the tr..
  • Find the transformed equation of x2 + 23xy - y2 = 2a2, when the axes are rotated through..
  • Choose the transformed equation of 4x2 - 4xy + 7y2 - 24 = 0, when the axes are turned thro..
  • Find the transformed equation of x2 - y2 = a2, when the axes are turned through an angle &..
  • Find the transformed equation of 17x2 - 16xy + 17y2 = 225, when the axes are turned throug..
  • Find the transformed equation in the standard form, which is free from the x′y&prime..
  • Find the transformed equation of 4xy - 3x2 = a2 when the axes are turned through an angle ..
  • Find the transformed equation in the standard form for the conic x2 + 23xy - y2 = 2a2...
  • What type of conic does the equation 4x2 + 22xy + 4y2 - 3x + 6y - 21 = 0 represent?..
  • Find the type of conic represented by the equation 4x2 + 53xy + 80y2 = 1...
  • Find the angle of rotation needed to remove the x' y' - term in the transformed equation o..
  • Find the transformed equation of 5x2+3xy+y2 = 5. Identify the type of conic that the trans..
  • If the event B depends on the event A, then P(B|A) =..
  • A card is drawn from a well-shuffled deck of 52 cards and then a second card is drawn. Fin..
  • Two dice were thrown and it is known that the numbers which come up were different. Find t..
  • A dice is thrown 6 times. If 'getting an even number' is a success, then what is the proba..
  • A coin is tossed 5 times. If 'getting a head' is considered as a success, find the probabi..
  • Which of the following is true, when two equations r = f1(θ), r = f2(θ) are eq..
  • If the graphs r = f (θ) and r = f (-θ) are equivalent, then , then which of t..
  • The points (r, θ) and (r, - θ) are symmetric about _________...
  • Choose the condition for the graph r = f (θ) to be symmetric about y-axis ...
  • The points (r, θ), (- r, - θ) are symmetric about________...
  • Which of the following is true, if the graph r = f (θ) is symmetric about the origin..
  • The points (r, θ), (- r, θ) are symmetric about__________...
  • Choose the axis of symmetry of the graph r2 = 16...
  • Choose the axis about which, the graph r = 2 sec θ is symmetric...
  • The graph of r = 3 csc θ is symmetric about__________...
  • The graph of r = 51 + 2 cos θ is symmetric about________...
  • The graph of r = 51 + 4sin θ is symmetric about_______...
  • The graph of r = a cos n θ, where n > 1 is an even integer, is symmetric about___..
  • The maximum r-value of r = 2 + 3 cos θ is..
  • Choose the points on the graph of r = 4 cos 2θ for 0 ≤ θ ≤ π that giv..
  • Which of the following is the equation of a rose curve?..
  • What is the number of petals of the curve represented by r = 3 sin 5θ?..
  • Find the number of petals of the rose curve r = 2 cos 2θ...
  • Which of the following represents a limacon curve?..
  • If the limacon curve r = a + b sinθ contains an inner loop, then Write the relation ..
  • Write the value of ab so that the limacon curve r = a + b sinθ becomes a cardioid...
  • The limacon curve r = a + b cosθ becomes a dimpled limacon if________...
  • The limacon curve r = a + b cos θ becomes a convex limacon if________...
  • Choose the equation to the spiral of Archimedes...
  • Which of the following is the equation of a lemniscate curve?..
  • Which of the following is correct?..
  • Let P be a point in a polar coordinate system. If r is the directed distance from the pole..
  • What are the polar coordinates of the pole?..
  • The polar coordinates of a point P are (r, θ). Which of the following is the polar c..
  • Polar axis of a polar coordinate system is a ------------...
  • Which of the following is correct?..
  • Which of the following is correct?..
  • From the polar coordinate system shown, the coordinates of P are..
  • Which of the following is correct?..
  • The polar coordinates of point P are (2, π4). Which of the following are the rectangula..
  • If the rectangular coordinates of a point P with polar coordinates (r, 3π4) are (- 22, ..
  • If the polar coordinates of a point P with rectangular coordinates (1, -1) are (2, θ..
  • Choose the polar coordinates of a point P with the rectangular coordinates (-1, -1)...
  • Choose the rectangular form of r = 8 sin θ...
  • Find the center of the circle represented by r = 10 cos θ where 0 ≤ θ ≤ ..
  • Find the rectangular coordinates of r = 6 csc θ and identify the graph...
  • What is the polar form of the circle (x - 3)2 + (y - 4)2 = 25?..
  • What is the rectangular form of the circle r = 4 cos θ + 6 sin θ?..
  • Find the radius of the circle r = 16 cos θ + 12 sin θ, 0 ≤ θ ≤ 2&p..
  • Find the distance between the points (4, 10o) and (3, 70o)...
  • (8 mi, 22o) and (6 mi, 82o) are the locations, of two planes leaving the New York airport...
  • If the distance between (r, 10o) and (3, 40o) is 1, then what is the value of r?..
  • Let P and Q have polar coordinates (r1, θ1) and (r2, θ2). If θ1 - &theta..
  • Let A and B have polar coordinates (r1, θ1) and (r2, θ2). If the distance betw..
  • Solve the inequality, | x | + 3 < 10...
  • Solve the inequality | 2x - 3 | - 5 > 0...
  • Solve the inequality, | 2x | < 16...
  • Solve the inequality, | x + 2 | - 3 < 5...
  • Solve the inequality, | x - 3 | > 4...
  • Solve the inequality, | 9 - x | < 5...
  • Solve the inequality, | 2x + 1 | ≥ 7...
  • Solve the inequality, | 5x | + 5 ≤ 20...
  • Solve the inequality, 4 | x | - 8 ≥ 12...
  • Solve the inequality, 15| 8x - 7 | > 13...
  • Solve the inequality, 18| 2x + 3 | + 1 ≤2...
  • Solve the inequality, 2 ≤ | x | ≤ 5...
  • Solve the inequality, 5 ≤ | 1 - x | < 7...
  • Choose the graph for the inequality, | w + 52 | - 4 > 5...
  • Choose the graph for the inequality, 5 < | x - 4 |...
  • Choose the graph for the inequality, | 5 + 2(x - 1) | ≤ 1...
  • Choose an inequality for the graph shown...
  • Choose an inequality for the graph shown...
  • Choose an inequality for the graph shown...
  • The length of a rod is to be 8.5 cm, with a tolerance of 0.04 cm. Express the tolerance li..
  • The width of a screw is to be 20.5 mm, with a tolerance of 0.01 mm. What is the greatest ..
  • The radius of a rod is 2.5 cm, with a tolerance of 0.003 cm. Find the least possible radi..
  • Assume that a, b, c are real numbers. Then find the solution set for the inequality | ay +..
  • Assume that a, b, c are real numbers. Then, find the solution set for the inequality | ay ..
  • Write the expression using exponents: three to the seventeenth power..
  • Write the expression using exponents:b to the 12th power..
  • Evaluate: 123..