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Shirts numbered consecutively from 1 to 20 are worn by 20 members of a bowling league. While any three of these members are selected to be a team, the league aims to use the sum of their shirt numbers as the code number for the team. Display that if any eight of the 20 are chosen, after that from these eight one may form at least two different teams having similar code number
Ans: While a team containing three persons is selected and number inscribed on the shirt is added, the possible minimum number is (1+ 2 + 3 =) 6 and the maximum number is (18 + 19 + 20 =) 57. So a team of three can have a code number from the possible range of 52 codes from 6 to 57 both inclusive. Now after selecting 8 from 20 members, any three out of 8 can be selected in
8C3 = 56.
Now using the Pigeon Hole principle, let 56 pigeons are placed into 52 holes marked with codes between 6 and 57, then there are at least two teams will be in the same hole, implying that these two teams will have the same code number.
A circular print is being matted in a square frame. If the frame is 18 in by 18 in, and the radius of the print is 7 in, what is the area of the matting? (π = 3.14) a. 477.86 in
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1.If a+b=2b and ab+cd+ad=3bc,prove that a,b,c,d are in A.P 2.The nth term of an A.P is an+b.Find the sum of the series upto n terms.
Two people on bikes are at a distance of 350 meters. Person A begin riding north at a rate of 5 m/sec and 7 minutes later on Person B begin riding south at 3 m/sec. Determine th
advanteges of duality
There are really three various methods for doing such integral. Method 1: This method uses a trig formula as, ∫sin(x) cos(x) dx = ½ ∫sin(2x) dx = -(1/4) cos(2x) + c
72 is 75% what number
how do i find the diameter of a circle if i have the shaded sectors area of 263.76 and the central angle of that circle is 210 degrees?
What is 124 out of 300 in percent ?
Suppose you start saving today for a $55,000 down payment that you plan to make on a house in 7 years, assume that you make no deposits into the account after the initial deposit,
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