Two integers x and y are chosen without replacement out of the set {1, 2, 3,......, 10}. Then the probability that x^y is a single digit number.
Select.
A) 11/90	B) 13/90	C) 17/90	D) 19/90	E) 23/90
it can take 9 values when x=1..   it can take another 8 values when y=1..   when x=2, y=3 as other values already considered..   when x=3, y=2 as other values already considered.. total-19 values so prob=19/90   ANSWER:19/90
<result>D</result>
Two integers x and y are chosen without replacement out of the set {1, 2, 3,......, 10}. Then the probability that x^y is a single digit number.