Question

Nia has number cards for 2,3,8,9 and 5. What are all the different ways Nia can arrange the cards to show only even numbers with the 2 in the ten- thousands place?

Answer 1

So basically with the limits (even numbers with 2 in the ten thousands place) you would be left with:

2 _ _ _ 8

(two is in the ten thousands place and the only even number is in the ones places to make it an even number)

So since there are three other numbers and three other spaces, do three factorial, or 3 * 2 * 1.

The reason is because if you look at the first space, there are three choices, two for the second space, and only one for the last one.

So you get 6 different ways.