Question

mark is trying to remeber is account number his account has 6 digits he knows that the 6 digit are 2,3,5,7,8 and 9 but he cant rember the sequen in the correct order how many possible ways are there for mark to find the correct order

Answer 1

720

Explanation:

Formula: P (n,r) = n! ÷ (n - r)!

n = Total number of objects in a set

r = The number of items you choose

Mark knows the account number includes the numbers 2,3,5,7,8, and 9. There are obviously 6 numbers in total in this set and 6 he must choose in order to have a 6 digit account number, which the problem also directly states he has.

That means P(n,r) = P(6,6)

!/Factorial = Product of all positive numbers less than or equal to the given positive number

Therefore, 6! = 1 x 2 x 3 x 4 x 5 x 6

P (n,r) = P(6,6) = 6! ÷ (6-6)! = 720