Roberto wants to display his 18 cards in an album. some pages hold 2 cards and others hold 3 cards. how many different ways can roberto display his figure? what is the problem sentence to this question.

The number of different ways can Roberto display his figure =4

Step-by-step explanation:

As per given , we have

Total cards = 18

Let 'a' be the number of pages with 2 cards and 'b' be the number of pages with 3 cards.

such that

  (i)

Now , we need to find the possible solutions for (a,b) , where a, b are positive integers and satisfy equation (i).

When a=0 ,

When b=0 ,

When a=3 ,

When a=6 ,

i.e. Possible solutions for (a,b) = (0,6), (9,0) , (3,4) , (6,2) .

⇒Number of possible solutions for (a,b) =4

Thus , the number of different ways can Roberto display his figure =4