英文统计学题How many ways are there to select 11 countries in the
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英文统计学题
How many ways are there to select 11 countries in the United Nations to serve on a council if 1 is selected from a block of 53,2 are selected from a block of 62 and 8 are selected from the remaining 74 countries?
How many ways are there to select 11 countries in the United Nations to serve on a council if 1 is selected from a block of 53,2 are selected from a block of 62 and 8 are selected from the remaining 74 countries?
共有多少种可能从联合国中选11个国家组成一个委员会如果要从53个国家里选一个,62个国家里选2个,然后从剩下的74个国家里选8个?
一共有189个国家,选11个.用组合(combination):(n choose r) = n!/(n-r)!r!
也就是说共有(53 choose 1)*(62 choose 2)*(74 choose 8)种可能性,53C1 = 53,62C2=1891,74C8=15071474661,他们3个的乘积为1,510,508,404,949,403.
一共有189个国家,选11个.用组合(combination):(n choose r) = n!/(n-r)!r!
也就是说共有(53 choose 1)*(62 choose 2)*(74 choose 8)种可能性,53C1 = 53,62C2=1891,74C8=15071474661,他们3个的乘积为1,510,508,404,949,403.
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