দুটি সংখ্যা \r\n3:5\n অনুপাতে রয়েছে। প্রতিটি\r\nসংখ্যার সাথে 8 যোগ করা হলে, অনুপাত 2: 3 হবে।

If m:n = 3:5 and m:r = 2:3, then find n:r.

Given that C(n, r) : C(n,r + 1) = 1 : 2 and C(n,r + 1) : C(n,r + 2) = 2 : 3 . What is P(n, r) : C(n, r) equal to ?

Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}dot Then, (2,\ 4) in R (b) (3,\ 8) in R (c) (6,\ 8) in R (d) (8,\ 7) in R

lim_ (n rarr oo) prod_ (r = 3) ^ (n) (r ^ (3) -8) / (r ^ (3) +8)

If .^(n)C_(r-1): .^(n)C_(r): .^(n)C_(r+1)=3:4:5 , find the values of n and r.

When n = 5 and r = 2, find the values of : (i) (n!)/(r!) (ii) (n!)/(r!(n-r)!)

If Delta_r=|[2^(r-1)2 , 3^(r-1) , 4. 5^(r-1)] , [x , y , z] , [2^n-1 , 3^n-1 , 5^n-1]|dot Show that sum_(r=1)^n Delta_r=Con s t a n t