Guys help me with these questions too plzz

1. In how many ways a team of 11 can be must be selected from 5 men and 11 women such that the team must not comprise of more than 3 men?

2. the perimeter of a square is equal to twice the perimeter of rectangle of length 8 cm and breadth 7 cm. what is the circumference of a semicircle whose diameter is equal to side of the square?

3. area of a quadrilateral whose vertices are (-1,1),(2,2),(2,-1), -2,-2)

4. speed of the train is 20 km/hr. The strength of steam was increased two fold but due to certain other factors the friction also increase 3/2 times. If in the beginning the ratio of strength of steam and friction was 3:1.Find present speed of the train.

5. Anu's ages was 3 times older to the age of banu's age 10 years ago.What will be the age of anu next year,if their present age ratio is 2:11?

6. Anju started to move in the direction of east and turn to his left after moving 25m. Then he turned to his left after moving 10 m and after this he moved 35 m. Then he turned to his left and moved 20 m. Now how far is he from his starting point?

• Q1 >> 11C11 + (5C1 * 11C10) + (5C2*11C9) + (5C3*11C8)
• 11 years agoHelpfull: Yes(9) No(2)
• 1.3 men and 8 women::5c3*11c8=1650
  2 men and 9 women::5c2*11c9=550
  1 man and 10 women::5c1*11c10=55
  11 women::1
  total=2256
  2.4s=2*2*(8+7)::s=d=15::15*3.14
  3.10 sq units::use analytical geo formula
  4.s-f=20::s=3f::s=30,f=10::2s-(1.5*f)=60-15=45
  5.verify que once
  6.10*1.414
• 11 years agoHelpfull: Yes(7) No(1)
• 1)5c3*11c8+5c2*11c9+5c1*11c10+5c0*11c11
  2)4a=2(2(8+7)), a=15cm
  perimeter of semi circle=pi*r,diameter=a=15,so r=7.5
  so pi*7.5=23.55cm
  3)by combining these points in coordinate axis rhombus is formed.so area of rhombus=1/2(product of diagnoals)
  diagnols=distance btwn opposite vertices=square root((x1-x2)^2+(y1-y2)^2)
  so area=1/2(4 root(2)*root(13))=2root(26)
• 11 years agoHelpfull: Yes(4) No(0)
• 20=(s-f)*x
  but given that s/f=3::s=3f
  20=(3f-f)*x
  x=10/f
  now,(2s-1.5f)*x is the new train speed.
  solving,((2*3f)-1.5f)*(10/f),we get 45kmph as the new speed
• 11 years agoHelpfull: Yes(3) No(0)
• Q3>> formula to find the area of a quadrilateral when co-ords are given is
  
  1/2 * (((x1-x3)*(y2-y4))-((x2-x4)*(y1-y3)))
  now use this formula
• 11 years agoHelpfull: Yes(2) No(0)
• 5C3x11C8+5C2x11C9+5C1x11C10
  where 5c3 is ways of selecting 3 men out of 5
  2 men 9 women
  1 man 10 woman
  
• 11 years agoHelpfull: Yes(1) No(1)
• Q2>> let side of square is a therefore,
  4a/2=2(8+7) => a=15 (so 15 is diameter of semicircle)
  so circumference/perimeter of semi circle = 22/7 * 15 = 47.14
• 11 years agoHelpfull: Yes(1) No(4)
• 1)the selection shouldnot contain more than 3 men.so it can contain 0 men&11 women or 1men and 10 women or 2 men and 9 women or 3 men and 8 women.
  11C11+(5C1*11C10)+(5C2*11C9)+(5C3*11C8)
  
  2)let the side of square be x.
  perimeter of square is 4x and rectangle is 2(lenght +breadth)
  4x=2(8+7)=30.x=7.5.
  circumference of semicircle = pi*r=pi*(7.5/2)=11.78
  
  
• 11 years agoHelpfull: Yes(1) No(1)
• 1) 5c411c7 + 5c511c6.
  2)47.1 cm
  3)If the points are (x1, y1), (x2, y2), ..., (x4, y4), then here's the
  formula:
  
  2A = (x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)
  a=1/2((x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4))
  
• 11 years agoHelpfull: Yes(0) No(1)
• Ans6:
  By using pythagrs Theorem we can find the distance i.e. sqrt(10^2+10^2)=10sqrt2
• 11 years agoHelpfull: Yes(0) No(2)
• BAILORE PRADYUMNA ACHARYA wud u xplain the soln of 4th qn in detail
• 11 years agoHelpfull: Yes(0) No(0)
• 1)2256
  5)wrong data
  6)10sqrt2
• 11 years agoHelpfull: Yes(0) No(0)
• @Bailore: the answer could be 10sqrt(2)+20
• 11 years agoHelpfull: Yes(0) No(0)