Q:

What is the probability that you will get a 3-digit combination correct if no digits in the combination can be repeated?1/101/5041/720

Accepted Solution

A:
Answer:The probability that you will get a 3-digit combination correct is:    1/720Step-by-step explanation:We are asked to find the probability that you will get a 3-digit combination correct if no digits in the combination can be repeated.Now the favorable number of outcomes=1 (which is the correct combination)Total number of outcomes=  10×9×8 (first place has 10 choices of digits from 0-9 ,second has 9 choices excluding the one at first place and third place has 8 choice)                                            =720Probability= number of favorable outcomes/total number of outcomes                  =  1/720