Count between Duke and King
Probability
Level
pending
If ever England decides to restrict alphabet to the letters that find place in UNITED KINGDOM and then lists all possible 4-letter words (with or without meaning) in alphabetical order, then how many words appear between DUKE and KING?
The answer is 3420.
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1 solution
Only D, E, G, I, K, M, N, O, T and U, in all 10 letters find place in the new order. Hence decimal counting can be applied with allocation of 0 to 9 in the same order. KING (4362) and DUKE (0941) differ by 3421 hence 3420 words are in between.