n進制的n位數,求 與所有數的 位數值不同 達到50% 的組合數量,應如何計算?
示例1:
10進制的2位數,與所有數的 位數值不同 達到50% 的組合 大約有100個 ,組合的方式只有1種 :窮盡組合:
00,01,。。。10,11,12,13,。。。99
示例2:
10進制的3位數,與所有數的 位數值不同 達到50% 的 組合的數量 大約有 87 個,組合的方式或有n種 :
"9,4,6",
"6,0,2",
"6,9,6",
"5,8,8",
"6,8,9",
"5,6,1",
"7,4,9",
"3,9,2",
"2,0,6",
"7,3,4",
"0,6,7",
"5,1,9",
"8,7,7",
"4,3,5",
"0,9,8",
"7,8,5",
"1,3,9",
"2,4,8",
"7,2,8",
"8,9,3",
"2,6,9",
"7,7,1",
"0,8,6",
"1,4,2",
"2,9,1",
"8,6,6",
"5,0,3",
"3,2,3",
"5,9,4",
"1,6,0",
"5,2,0",
"9,5,8",
"4,5,6",
"6,7,0",
"9,7,9",
"9,3,7",
"3,8,7",
"8,4,5",
"0,5,5",
"1,7,8",
"6,1,5",
"8,3,8",
"4,2,1",
"0,7,3",
"7,6,2",
"2,5,3",
"7,9,7",
"8,1,2",
"1,0,5",
"5,5,2",
"2,3,2",
"3,7,5",
"4,7,2",
"1,2,6",
"3,0,4",
"3,4,1",
"0,0,0",
"2,7,4",
"8,2,4",
"9,8,3",
"1,1,1",
"0,3,1",
"6,4,3",
"4,6,8",
"9,1,0",
"2,2,5",
"8,8,1",
"2,1,7",
"9,9,5",
"3,3,6",
"6,6,4",
"4,1,3",
"7,5,0",
"1,8,4",
"4,4,7",
"9,0,1",
"3,5,9",
"0,4,4",
"4,0,9",
"4,8,0",
"1,5,7",
"3,1,8",
"0,2,2",
"7,1,6",
"6,2,7",
"5,7,6",
"6,5,1"
示例3:
10進制的4位數,與所有數的 位數值不同 達到50% 的 組合的數量 大約有 750 個,組合的方式或有n種 :
示例n:
20進制的20位數,與所有數的 位數值不同 達到50% 的組合 大約有?個 :
求這個計算公式?
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標籤:分布式計算/Hadoop
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