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Rahul Poddar 8 years, 1 month ago

For 3 digit even number the third must be even like 124,374 so, third place/unit place is filled by 3 ways then 2nd is filled by 5 ways and 1st place is filled by 4 ways so, no of selection=4×5×3=60ways

Tamizh Iniyan 8 years, 1 month ago

3digits even number Even number are 2,4,6 So it's 6P3

Rahul Poddar 8 years, 1 month ago

120,..6p3
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Kritika Trehan 8 years, 1 month ago

Binomial theorem is heavily used in probability theory . Binomial theorem is used in forecast services .the future weather forecasting is impossible without binomial theorem.the disaster forecast is also depend upon binomial theorems

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Rahul Poddar 8 years, 1 month ago

1
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Shoba Ponnuraj 8 years, 1 month ago

Example 14:  {tex}cos 2x = cos^2x – sin^2 x = 2 cos^2 x – 1 = 1 – 2 sin^2 x = 1-tan^2x/1+tan^2x{/tex}

solution :

we know that {tex} cos (x + y) = cos x cos y – sin x sin y{/tex}

Replacing y by x, we get

{tex}cos 2x = cos^2x – sin^2 x = 2 cos^2 x – 1 {/tex}

{tex}= cos^2 x – (1 – cos^2 x) = 2 cos^2x – 1{/tex}

Again,

{tex}cos 2x = cos^2 x – sin^2 x{/tex}

{tex}= 1 – sin^2 x – sin^2 x = 1 – 2 sin^2 x.{/tex}

we have,

{tex} cos 2x = cos^2 x – sin ^2 x =(cos^2 x – sin ^2 x) /( cos^2 x +sin ^2 x){/tex}

Dividing each term by {tex}cos^2x{/tex} we get,

{tex}cos 2x = 1-tan^2x/1+tan^2x{/tex}

Hence Verified.

Sanoj S Nair 8 years, 1 month ago

Gud one
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Nikki Dhakad 8 years, 1 month ago

1/9!(1/1 + 1/10 + 1/11×10) 1/9!(10×11+11+1)/11×10 1/9! (122/11×10) 122/11×10×9! 122/11!
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Sachin Kumar 8 years, 1 month ago

Practise daily as making some bodmas calculations.or numericals.
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Aryan Tripathi 8 years, 1 month ago

Let. Breadth be 'x' then,length is 3x Area :75 (x)(3x) :75 X square :25 Then, x:5 By putting this leng th :15 and Breadth: 5 By pythagoras theorem. Diagonal :5 root 10
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Nikhil Malik 8 years, 1 month ago

Yes
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Taranveer Sharma 8 years, 1 month ago

Hmm
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1,2,3,5,8,13...... Go on adding the preceding number....
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Seema Chauhan 8 years, 1 month ago

(2x+3y=5)5;(5x+7y=1)2 By subtracting both we get 10x-10x+15y-14y =25-2 y=23 Putting the velue of y in equation 1 2x+3y=5 2x+3×23=5 2x=5-69 2x=-64 x=-32

Rakhi Bhandari 8 years, 1 month ago

y= 1-7x/5 putting the value of y in equation 2x+3y= 5 2x+3(1-7x/5)= 5 2x+(3-21x/5)= 5 (10x+3-21x/5)=5 (-11x+3/5)=5 -11x+3=25 -11x=25-3 -11x=22 x=-22/11 x=-2 2x+3y=5 2(-2)+3y=5 -4+3y=5 3y=5+4 3y=9 y=3
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Seema Chauhan 8 years, 1 month ago

Let the radius of the circle is 'r' then area is πr² And 1%of radius 'r' is r×1%=r÷100 The area of new circle is π(r+r/100)² π(101r/100)² π×10201r²/10000 Increment in area is πr²-πr²10201/10000 πr²(1-10201/10000) πr²(10000-10201/10000) πr² (201/10000) The increment is 201/10000
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Anurag Pokhriyal 8 years, 1 month ago

We are given that we have to find out the sum of the squares of first 20 terms, here we will use the formula of (the sum of squares of first n terms)....n(n+1)(2n+1)/6
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Anamika Rajput 8 years, 1 month ago

a+(m-1)d=n...case 1 a+(n-1)d=m...case 2 From 1 and 2 (m_n)d=n-m Therefor..d=-1 Putting value of of d in 1 a+(m-1)-1=n a-m+1=n a=n+m-1 :p th term; a+(p-1)d =n+m-1+(p-1)(-1) =n+m-1-p+1 Here..-1 and +1 get cancelled. =n+m-p Hence..pth term =n+m-p.
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Varun Banda 8 years, 1 month ago

A relation is a function if it "maps" elements of one set to another set. That means that each element in the first set can appear at most in one pair in the first entry.

The example shows two elements of the first set can be mapped to the same element of the second set.

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Amos Khalthang 8 years, 1 month ago

RHS, [(n!) +(n+1)!] =(n!) +(n+1).(n!) =(n!). (1+n+1) (on taking common) =(n!). (n+2) LHS, (n!). (n+2) Therefore, RHS=LHS
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Alone But Awesome 8 years, 1 month ago

5(2-2)=2^2-2^2 that is 5(2-2)=(2+2)(2-2) (2-2) will cancel both sides then remains (2+2)=5 hence proved

Alone But Awesome 8 years, 1 month ago

I can write 10-10=4-4 that is
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