A true-false test contains ten questions. How many different ways are there of completing this test?

In case of true false questions there are two ways to answer each questions and we have 10 questions . So as per the rule of permutation we have (2×2×2×2×2×2×2×2×2×2) or 2^10 or 1024 no. Of ways to answer 10 true false questions in the exam.

Step-by-step explanation:

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option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.