How many ways are there to seat six boys and eight girls in a row of...

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How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are seated next to each other? How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45, 4 are selected from a block of 57, and the othe are selected from the remaining 69 countries How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are seated next to each other? How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45, 4 are selected from a block of 57, and the othe are selected from the remaining 69 countries