2) if `A ={ 1, {2,3}}` then find `n(p(A))`

If two natural numbers r and s are drawn one at a time, without replacement from the set S={1,2,3,….n}, then find P (rlep//slep) where p in S.

Let p be a non singular matrix, and I + P + p^2 + ... + p^n = 0, then find p^-1 .

If P(AuuB)=3//4a n dP( A )=2//3 , then find the value of P( A nnB)dot

If P(n-1,\ 3): P(n ,4)=1:9 find n

If P(n ,4)=20 x P(n ,2),find n.

If P(n) stands for the statement n(n+1) (n+2) is divisible by 6, then what is p(3)?

Let l _(n) =int _(-1) ^(1) |x|(1+ x+ (x ^(2))/(2 ) +(x ^(3))/(3) + ..... + (x ^(2n))/(2n))dx if lim _(x to oo) l _(n) can be expressed as rational p/q in this lowest form, then find the value of (pq(p+q))/(10)

If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then find the coordinates of Pdot

P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection length of vec P Qon vec R Sdot

P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection length of vec P Qon vec R Sdot