Please help: probability?

Question

Problem: 6 different numbers are chosen from the set {1, 2, 3, ..., 44}. The winning numbers are drawn from this set. To win, all 6 numbers must be matched in any order.

Question: What is the probability of winning, P(winning)?

Note: You may use nCr and/or nPr in your answer. Please explain thoroughly.

I genuinely appreciate all and any effort.

Answer 1

1/44C6, right?

There's only one "group" that wins...and there are 44C6 ways to choose a group of 6.

Answer 2

Since order does not matter, there are 44C6 possible winning combinations. The probability of winning therefore is 1/ that number.