Suppose you have two 1’s, two 2’s, and two 3’s.

Make ‘sandwiches’ with the 1’s, 2’s and 3’s as slices of bread by arranging these six digits in a list so:
between the two 1’s there is one digit giving 1?1; between the two 2’s there there are two digits giving 2??2; between the two 3’s there are three digits giving 3???3.

What sandwiches can you make with more pairs of numbers? For example here is a 7-sandwich:

7 1 3 1 6 4 3 5 7 2 4 6 2 5

Click here to download a worksheet.


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