Home
Class 12
MATHS
Let n and k be positive such that n leq...

Let `n and k` be positive such that `n leq (k(k+1))/2`.The number of solutions `(x_1, x_2,.....x_k), x_1 leq 1, x_2 leq 2, ........,x_k leq k`, all integers, satisfying `x_1 +x_2+.....+x_k = n`, is .......

Promotional Banner

Similar Questions

Explore conceptually related problems

Let n and k be positive such that n<=(k(k+1))/(2). The number of solutions (x_(1),x_(2),....x_(k)),x_(1)<=1,x_(2)<=2,......,x_(k)<=k all integers,satisfying x_(1)+x_(2)+....+x_(k)=n, is ......

The number of integral values of x satisfying |x^2-1|leq3 is

Let n_(k) be the number of real solution of the equation |x+1| + |x-3| = K , then

If M is the mean of n observations x_(1)-k, x_(2)-k, x_(3)-k,…., x_(n)-k , where k is any real number, then what is the mean of x_(1), x_(2), x_(3) …., x_(n) ?

If the arithmetic mean of the observations x_(1), x_(2), x_(3), ........, x_(n) is 1, then the arithmetic mean of (x_(1))/(k),(x_(2))/(k),(x_(3))/(k),......,(x_(n))/(k)(k gt 0) is

Solution of |x^2-10|leq6 is

If f: x: -1 leq x leq 1 -> {x : -1 leq x leq 1} , then which is/are bijective

If the arithmetic mean of the observations x_(1),x_(2),x_(3),............x_(n) is 1, then the arithmetic mean of (x_(1))/(k),(x_(2))/(k),(x_(3))/(k),cdots......(x_(n))/(k),(k>0) is

If log_(2)(3x-1)leq3 then number of integer values of x will be: