Question

If N is the number of positive integal solution of $x_1{x}_2{x}_3{x}_4=770$ then N is equal to

• A. 256
• B. 729
• C. 900
• D. none of these

Answer 1

The correct option is A 256

Given,

$x_1{x}_2{x}_2{x}_4=770$

but, we have,

$770=2\times 5\times 7\times 11$

all of them are prime

Hence, Number of ways,

$=4^4$

$=256$