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In how many different ways 24 apples can be given to 3 boys and 3 girls if the total number of apples received by boys is a)equal to that received by girlsb)double to that received by girls
Case a) It means that 12 apples must be given to boys and 12 to girls Total ways of distributing 12 apples among 3 boys=(n+r-1)C(r-1)= (12+3-1)C(3-1)= 91Total ways of distributing 12 apples among 3 girls(same as above)=91 Hence, total ways = 91x91=8281 Case B) Here, 16 apples will be given to boys and 8 to girls No. of ways of distributing 16 apples among 3 boys=153No. of ways of distributing 8 apples among three girls=45 Total no of ways= 153x45=6885 Hope it helped
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