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

1/10
1/504
1/720

User Zardosht
by
8.6k points

1 Answer

4 votes

Answer:

The probability that you will get a 3-digit combination correct is:

1/720

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)

=720

Probability= number of favorable outcomes/total number of outcomes

= 1/720

User Dan Rosenstark
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7.6k points