Question

On a game show, Celine is given the digits from 1 to 6 and has to use them to fill in a row with 2 spots. If the number formed is the correct price of the item displayed, she wins the item. Given that each digit can be used only once, how many 2-digit prices are possible?

Answer 1

30 Two digits prices are possible.

Explanation:

Celine was given numbers from 1 to 6

so the possible numbers are 1, 2, 3, 4, 5, 6

And we need to make a two digit number using these digits by using them only once

Using the box method of permutation

• We have 6 possibilities on the tenth place of the two digit number

• On the One's place we will have 5 choices of numbers as one among these six given digits is used on the tenth place (Non repeating)

So we will have total permutations = 6*5 = 30

Therefore 30 Two digits prices are possible.