Select the digit in the thousands place of 689,234 what is the answer
2 answers:
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Answer with explanation:
Number of four digit numbers using four distinct digit
=Unit placed can be filled in four ways * Tens place can be filled in Three ways * Hundreds place can be filled in 2 ways * Thousand Place can be filled in a single way
=4*3*2*1
=24 distinct numbers
Sum of all four , four digits numbers using 1,2,3,4
= (If we keep 4 at unit place +Keeping 3 at unit place +Keeping 2 at unit place+Keeping 1 at unit place)×6+At tens place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At hundred's place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At thousand's Place(2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)
=(24+18+12+6)Unit place+(60)Ten's place +(60)Hundred's place+(60)Thousand's Place
=66660
Part A: The solution is
Part B: The point is not in the solution set.
Explanation:
Part A: The given inequalities are and
The solution can be determined by solving the two inequalities by substitution method.
Changing inequalities to equality, we have,
and
Let us substitute in the equation
, we get,
Substituting in
, we get,
Thus, the solution set is
Part B: Now, we shall determine whether the point is in the solution set.
Let us substitute the point in the inequalities
and
, we get,
Also, substituting in
, we get,
Since, the point does not satisfy one of the inequality
, the solution set does not contain the point
Thus, the point is not in the solution set.