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A three digit number is formed at random using the digits
2, 3 and 4. If no digit can be repeated in any one number, find the probability that the number formed is greater than 300.​

Respuesta :

MathPhys

Answer:

2/3, or 66.7%

Step-by-step explanation:

There are 2 options for the first digit (3 or 4).

After the first digit is selected, it cannot be repeated, so there are 2 options left for the second digit.

After the first two digits are selected, there is only 1 option for the third digit.

So there are 4 permutations greater than 300.

The total number of permutations is 3! = 6.

So the probability is 4/6 = 2/3.