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Enigma Number 1541

Box clever

Put a digit in each of the following boxes so that (counting all the occurrences of digits in this Enigma from here until the final question) the following statements are true.

The number of occurrences of the digit 0 is____

The number of occurrences of the digit 1 is____

The number of occurrences of the digit 2 is____

The number of occurrences of the digit 3 is____

The number of occurrences of the digit 4 is____

The number of occurrences of the digit 5 is____

The number of occurrences of the digit 6 is____

The total number of occurrences of the digits 7, 8 and 9 is____

The average of the previous boxes is____

The highest of the number of occurrences of 0, 1, 2 and 3 is____

Please list, in order, the digits in the boxes.

WIN £15 will be awarded to the sender of the first correct answer opened on Tuesday 19 May. The Editor’s decision is final. Please send entries to Enigma 1541, ¿ìè¶ÌÊÓÆµ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1535 Back to front: The lower 6-digit number is 109989

The winner Robert Crowe of Wallingford, Oxfordshire, UK

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