A) how many 16 bit strings of 0's and 1's contain exactly 7 1's?
b) how many 16 bit strings of 0's and 1's contain at least one 1?
c) how many 16 bit strings contain at least 13 1's?

7

step-by-step explanation:

the answer would be 7

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb