Suggest a universal set for the set given below. A = {Even numbers less than 100} B={Odd natural numbers less than 100 in natural numbers }

To find `S = .^(100)C_(0).^(100)C_(2)+.^(100)C_(2).^(100)C_(4)+.^(100)C_(4).^(100)C_(6)+"....."+.^(100)C_(98).^(100)C_(100)` Consider, `.^(100)C_(0).^(100)C_(2)+.^(100)C_(1).^(100)C_(3) + .^(100)C_(2).^(100)C_(4)+.^(100)C_(3)+.^(100)C_(5)+"...." + .^(100)C_(98).^(100)C_(100)` `= .^(100)C_(0).^(100)C_(98)+.^(100)C_(1).^(100)C_(97) + .^(100)C_(2).^(100)C_(96)+.^(100)C_(3).^(100)C_(95) + "....."+^(100)C_(98) .^(100)C_(0)` = Coefficients of `x^(98)` in `(1+x)^(100) (1+x)^(100)` `= .^(200)C_(98) " "(1)` Also,...

Given: n(A)=250              n(B)=200 A={3,6,9,12,.......750} B=2,4,6,8,10.......400} Therefore,A⋂B={6,12,18....396)                   =>n(A⋂B)=396/6=66   n(A∪B)=n(A)+n(B)-n(A⋂B)               =250+200-66              ...

(2) Less proteins and more waste products

Correct Answer - `(a) A={0,2,4,6,8}` (ii) `B={-3,-2,-1,0,1,2,3,4,5}`

Correct Answer - (i),(iv),(v),(vi)

Correct Answer - `(i) 1/2 (ii) 2/3 (iii) 2/3 (iv) 1/3 (v) 5/6 (vi) 1/6`

Correct Answer - ` (i) 1/2 (ii) 3/4 `

Correct Answer - ` (i) 5/12 (ii) 25/36 (iii) 1/4`

Correct Answer - `(i) 5/18 (ii) 1/12 (iii) 5/12`

A) Below – 18 yrs