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1] each child has to recieve one apple remaining apples=5 now 5 apples have to be distributed among 6 children where each may recieve 0-6 apples. c+r-1Cr-1=5+6-1C5-1 =>10C5 =252
2] to find integral positive sol of x+y+z+w=20 give 1 to x,y,z,w thus we have to find no of non negative sol of x+y+z+w=16 =>n+r-1Cr-1=16+4-1C4-1 =19C3
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