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Determine the number of ways to choose 5 numbers from the first 18 positive integers such that any 2 differ by at least 2.

4 years ago

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3 years ago

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i want answer quickly
 
 
Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to ...
 
HARINATH 5 months ago
 
Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to ...
 
venkt 5 months ago
How to apply telescopic series in series involving sine of angles
 
 
suppose your seies is : sin x + sin 2x + sin 3x..........sin nx, multiply and divide by sin x/2, use sin x * sin y = ½ * (cos(x-y) – cos(x+y) ), sin x * sinx/2 = 0.5 * cos(x/2) – 0.5 *...
 
Akshay 7 months ago
 
se sin x * sin y = ½ * (cos(x-y) – cos(x+y) ), sin x * sinx/2 = 0.5 * cos(x/2) – 0.5 * cos(1.5x), sin 2x * sin x/2 = 0.5 * cos(1.5 x) – 0.5*cos(2.5 x), sin 3x * sin x/2 = 0.5 * cos(2.5 x) – ...
 
manu 10 days ago
 
or if you want to do it using exponentials, write sin ax =1/2 * (e iax -e -iax ), u will get two geomtric series, one for +ve powers of exp, other for negative powers. apply sum of gm...
 
Akshay 7 months ago
Sum to n terms of the series 1.3.5.7 + 3.5.7.9+............
 
 
first find the nth term of the series 1,3,5,7,........are in first place …........nth term=1+(n-1)2=2n-1 nth term=a+(n-1)d 3,5,7,9.........are in second place.........nth term=3+(n-1)2=2n+1 ...
 
noogler 6 months ago
 
∑(2n-1)(2n+1)(2n+3)(2n+5)
 
saibhargav 5 months ago
 
∑(2n-1)(2n+1)(2n+3)(2n+5)
 
charan 5 months ago
question from coordinate geometry
 
 
what that question
 
venky 5 months ago
cos 60
 
 
cos60=1/2
 
venky 5 months ago
 
1/2
 
KARTHIK 5 months ago
 
1/2
 
OUTPASS 5 months ago
the perimeter of a rectangle is 68m and length of its diagonal is 26m.find area
 
 
Dear student Hint: P = 2(L+B), D 2 = L 2 + W 2 , A = LW, To find LW use (L+W) 2 = L 2 + W 2 + 2LW. Thanks
  img
Vijay Mukati 7 months ago
 
P = 2(l + b) 68 = 2(l + b) l + b = 34 d = 26 (l + b) 2 = 342 l 2 + b 2 + 2lb = 1156 l 2 + b 2 = d 2 (pythagoraus theorem) l 2 + b 2 = 26 2 = 676 676 + 2lb = 1156 2lb = 480 lb = 240 area =...
 
A M S ARUN KRISHNA 7 months ago
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