in a party group of males and females are formed. each group of consists of 4 males and 6 females.how many males are required, if 102 females are available?
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The total number of ways to select 4 children out of 10 total children is (104)=10∗9∗8∗74∗3∗2∗1=210 . However, because at least one boy must be in the group, we have to subtract 1 to account for the case where all four children are girls (There is (44)=1 such case). The answer is 210−1=209 .
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