Sudal's Garage

Question: 145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.Find the sum of all numbers which are equal to the sum of the factorial of their digits.Note: as 1! = 1 and 2! = 2 are not sums they are not included. 문제: 145는 '희한한 성질'이 있는 숫자인데, 1! + 4! + 5! = 1 + 24 + 120 = 145 와 같이 각 자리 숫자의 팩토리얼을 더하면 자기 자신이 된다.이러한 '희한한 성질'이 있는 모든 숫자의 합을 구하여라.주의: 1! = 1 이고 2! = 2 인데 이것들은 합이 아니므로 포함되지 않는다. ..

Question: The fraction 49/98 is a curious fraction, as an inexperienced mathematician in attempting to simplify it may incorrectly believe that 49/98 = 4/8, which is correct, is obtained by cancelling the 9s.We shall consider fractions like, 30/50 = 3/5, to be trivial examples.There are exactly four non-trivial examples of this type of fraction, less than one in value, and containing two digits ..

Question: We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once; for example, the 5-digit number, 15234, is 1 through 5 pandigital.The product 7254 is unusual, as the identity, 39 × 186 = 7254, containing multiplicand, multiplier, and product is 1 through 9 pandigital.Find the sum of all products whose multiplicand/multiplier/product identity can..

Question: In England the currency is made up of pound, £, and pence, p, and there are eight coins in general circulation:1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).It is possible to make £2 in the following way:1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1pHow many different ways can £2 be made using any number of coins? 문제:영국의 화폐는 파운드, £, 펜스, p로 구성되는데 일반적으로 8개의 동전이 있다.1p, 2p, 5p, 10p, 20p, 5..

Question: Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:1634 = 14 + 64 + 34 + 44 8208 = 84 + 24 + 04 + 84 9474 = 94 + 44 + 74 + 44As 1 = 14 is not a sum it is not included.The sum of these numbers is 1634 + 8208 + 9474 = 19316.Find the sum of all the numbers that can be written as the sum of fifth powers of their digits. 문제:놀랍게도 각 자릿수의 ..