Question

If x, y, z are integers and x ≥ 0 , y ≥ 1, z ≥ 2 and x + y + z = 15, then the number of ordered triplets (x, y, z) is

a. 91

b. 455

c. ¹⁷C₂

d. none of these

Answer 1

Correct option is a. 91

x ≥ 0 , y ≥ 1, z ≥ 2 and x + y + z = 15

Put y - 1 = Y, z - 2 = z , x + y + z = 12.

so, we can say 12 objects ( alike) are to be distriuted among 3 persons. (distribution of alike objects)