document.write( "Question 1108560: In how many ways can seven different colored balloons be distributed to four children if the first child will receive three balloons, the second two, and the third and fourth will receive only one balloon each? \n" ); document.write( "

Algebra.Com's Answer #723604 by KMST(5328) $\"\"$ $\"About$

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If we start by selecting and setting aside what the third and fourth children will receive,
\n" ); document.write( "we have $\"7\"$ choices for our first pick (to be set into a bag labeled for child # 4),
\n" ); document.write( "and then we have $\"6\"$ choices for our second pick (to be reserved for child # 3.
\n" ); document.write( "After that, we have $\"7-1-1=5\"$ balloons left.
\n" ); document.write( "There are $\"5%2A4%2F2=10\"$ different ways to pick the 2 balloons to be given to child # 2.
\n" ); document.write( "Our choices multiply, so we had
\n" ); document.write( " $\"7%2A6%2A10=highlight%28420%29\"$ different ways to decide who gets what balloon or what set of balloons. \n" ); document.write( "

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