Three integers are at random chosen between 0 and 9 inclusive. What is the probability K that each number is different ? Choose the most appropriate option
A) A.18/25	B) B.4/5	C) C.81/100	D) D.9/10	E) E.1
Number of ways of choosing the 3 integers without restriction = 10 * 10 * 10   Number of ways of choosing the 3 integers so that the 3 integers are different = 10 * 9 * 8   Probability K= 10 * 9 * 8/10 * 10 * 10 = 72/100 = 18/25   A.18/25nswer: A.18/25
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Three integers are at random chosen between 0 and 9 inclusive. What is the probability K that each number is different ?