Find the total number of one, two, and three digit prime numbers that can be formed using the digits 2,3,5 and 7. no digit is to be used more than once in a number

10

Step-by-step explanation:

1 digit = 4

2 digit = 4

3 digit = 2

4+4+2 = 10

There are 40 possible combinations of numbers including one, two and three digit prime numbers.

The total quantity of numbers formed by a certain quantity of digits is equal to the total number of permutations, that is the number of combinations where order is taken into account. The permutation formula is presented below:

(1)

Where:

Now we determine the total number of one, two and three digit prime numbers is:

There are 40 possible combinations of numbers including one, two and three digit prime numbers.

We kindly invite to check this question on permutations: link