SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: How many different ways can 3 men and 4 ladies sit in a row if the seating needs to be alternate?


A ) 144
B ) 7
C ) 35
D ) 63

Steps to derive

1 As there are 3 men and 4 ladies and the seating has to be alternate, the end seats necessarily have to be filled only by the ladies.


2 The seats 1, 3, 5 and 7 can be filled by the 4 ladies

3 The seats 2, 4 and 6 can be filled by the 3 men

4 The ladies can fill their seats in 4! ways.

5 The 3 men can fill their seats in 3! ways.

6 So, the total number of ways in which the seating arrangements can be made = 4! × 3! = 24 × 6 = 144.



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • If 180° < θ < 270° and cos θ = - 2425, then find the exact value..
  • Choose a formula that corresponds to the value of cos 4θ...
  • Using double-angle formulas, choose the formula that corresponds to the value of sin 6&the..
  • In an isosceles triangle STV if s = 18, v = 18 and t = 30, then find the measure of ∠..
  • In right triangle ABC if ∠C = 90°, ∠B = 28° 20′, and b = 16.5, then ..
  • In right triangle PQR, if ∠Q = 90°, ∠P = 42°10′ and q = 24.3, then ..
  • In right triangle DEF if ∠D = 42°, ∠E = 90° and f = 27, then find the mea..
  • In right triangle PQR if ∠Q = 90°, ∠R = 30° and r = 27, then find the meas..
  • ABCD is a quadrilateral in which ∠ABC = 90o, ∠CAD = 42o and ∠CDA = 35o, AB = 1..
  • For any parallelogram, find the ratio of sum of the squares of the lengths of the diagonal..
  • Find the length of AC to two significant digits in the parallelogram ABCD...
  • Find the area of the parallelogram ABCD to three significant digits...
  • In a quadrilateral ABCD, if AB = 10.6, BC = 14.8, CD = 8.4 and DA = 12.6 and ∠ABC = 70..
  • A pole is located at a distance of 20 m from one building and 26 m from another. The measu..
  • In ΔABC if ∠A = 35o, b = 15 and c = 28, then find the area of triangle ABC to th..
  • In ΔABC, if ∠B = 48o, a = 12 and c = 6, then find the area of triangle ABC to tw..
  • In ΔPQR, if ∠R = 68o, p = 14 and q = 8, then find the area of triangle PQR to tw..
  • In ΔDEF, if ∠E = 42o, ∠F = 78o and f = 14, then find the area of triangle DE..
  • In ΔABC, if ∠C = 63.2o, b = 8.7cm and a = 18.2cm, then find the area of triangle..
  • Simplify: (9 + 5i) + (3 + 4i)..
  • Simplify: (7 - 6i) + (- 3 + 3i)..
  • Simplify: (- 4 + 3i) - (1 - 5i)..
  • Simplify: (7 + - 9) + (3 + - 49 )..
  • Simplify: (- 9 + - 9) + (1 - - 36)..
  • Express in polar form 2 - 3i...
  • Express the complex number - 5 + 5i in polar form...
  • (2cosπ12+ 2i sinπ12)8 =..
  • Find the value of (cosπ5 + i sinπ5)20...
  • Use De Moivre's theorem to express (1 + i)10 in the standard form a + ib...
  • Find (1 - 2i)8 using De Moivre's theorem. ..
  • Find [1 - i2]5 using De Moivre's theorem...
  • Find (- 3 + 3i)4...
  • A surveyor obtains an angle of 33° 49′ between two merging roads. Find the cosin..
  • Find the value of cos 52° 25′ rounded to four decimal places...
  • The angle of elevation of the top of a pole measures 48° from a point on the ground 18..
  • An airplane is flying at an altitude of 1150 m. From the plane the angle of depression of..
  • A pillar of height 226 ft casts a shadow of 360 ft long. Find the measure of the angle o..
  • A flagpole is placed on top of the building. From a point on the ground d = 250 ft from t..
  • Two boys are standing on either side of a pole that is h = 170 m long. Their angles of ele..
  • Complete the statement."Two vectors are equivalent, if"?..
  • Which of the following figures best represents the resultant vector of PQ→ + PR→..
  • Use the vectors in the figure to find the resultant of A→ + B→ + C→...
  • Use the vectors in the figure to find the resultant of A→ + B→ + D→...
  • Use the vectors in the figure to find the resultant of A→ + B→ - C→...
  • Let u be the vector represented by the directed line segment from A = (- 3, 7) to B = (- 5..
  • Two forces F1 = 35 N and F2 = 84 N act on a body at right angles. Find the resultant forc..
  • Let v = AB→, where A = (- 7, - 10) and B = (7, 10). Which of the following is the com..
  • Let u = PQ→ where P = (6, 12) and Q = (- 9, 32). Which of the following is the magn..
  • Choose the component form of the zero vector...
  • Use the figure shown to find the measure of arc ABC..
  • The polar coordinates of point P are (2, π4). Which of the following are the rectangula..
  • Choose the rectangular form of r = 8 sin θ...
  • Change the rectangular coordinates A (2, 3) to polar coordinates...
  • Change the rectangular coordinates P (3, - 4) to polar coordinates...
  • Find the sum of the complex numbers 3 - 2i and 24 + 4i...
  • If z1 = (12 + 2i) and z2 = (39 + 5i), then find z1 + z2...
  • If z1 = 46 - 7i and z2 = 5i, then find z1 - z2...
  • Simplify: (9 - 3i) - (5 - 11i)..
  • If z1 = 2 - 10i and z2 = 4i2 + i, then find z1 - z2...
  • If Z = 3(cos π4 + i sin π4) and W = 2(cos π2 + i sin π2), then find ZW...
  • If n is a positive integer, then find the value of (1+ cos α + i sin α)n...
  • Simplify: cos 3θ + i sin 3θcos θ +&nb..
  • Simplify: (cos 2θ + i sin 2θ)3(cos 3θ + i sin 3θ)2..
  • Simplify: (cos θ+ i sin θ)6cos 3θ+i sin&nb..
  • Find (cos θ + i sin θ)8...
  • Evaluate [4(cos 30° + i sin 30°)]2...
  • Simplify [12(cos 20° - i sin 20°)]6...
  • Simplify 11(cos 4θ - i sin 4θ)15...
  • Using De Moivre's theorem, express (1 - i)4 in the form of a + ib...
  • Find the zeros of the function f(x) = (x - 8)(x - 6i)(x + 6i)...
  • The degree of a polynomial function f(x) with real coefficients is 19. Choose the maximum ..
  • If 1 + 3i is a zero of the function f(x) = 4x4+37x2+54x + 130, then find the other zeros o..
  • The degree of a polynomial function f(x) with real coefficients is 17. Choose the minimum ..
  • Which of the following are the zero(s) of the polynomial, f(x) = x3 - (2 -..
  • Find the equation of the circle in standard form with center (3, - 8) and radius 7...
  • Find the focus of the parabola y2 = 20x...
  • What is the focal length of the parabola y2 = 20x?..
  • Find the focal width of the parabola x2 = 36y...
  • Find the equation of the directrix of the parabola x2 = - 16y...
  • Identify the equation of the focal axis of the parabola y2 = 36x...
  • Choose an equation for the ellipse shown...
  • The eccentricity of an ellipse is e. Which of the following holds true for the given condi..
  • What is the equation of the focal axis of the ellipse 49x2 + y2 = 49?..
  • What is the equation of the transverse axis of the hyperbola 64y2 - x2 = 64?..
  • What are the foci of the hyperbola 64x2 - 81y2 = 5184?..
  • What are the foci of the hyperbola 63y2 - x2 = 63?..
  • What is the length of the transverse axis of the hyperbola x2 - 16y2 = 16?..
  • What is the length of the conjugate axis of the hyperbola 49y2 - x2 = 49?..
  • Which of the following best represents the equation (x - 3)2 = 4(y - 6)2?..
  • Identify the type of conic represented by the equation y2 - 4x - 18y + 405 = 0...
  • What is the eccentricity of the ellipse 4x2 + 49y2 = 196?..
  • If e is the eccentricity of a parabola, then which of the following is correct?..
  • Which of the following could be the eccentricity of an ellipse?..
  • Find the transformed equation of x2 + 23x(y) - y2 = 2a2, when the axes are rotated throu..
  • 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 &..
  • Choose the angle to which the axes are to be rotated so that the x1 y1 term in the transla..
  • Choose the angle to which the axes are to be rotated to remove the x′y′ term ..
  • Which of the following represents the equation of the circle with center (a, b) and radius..
  • What is the axis of symmetry of a parabola?..
    		•