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मान निकलिए `""^(47)C_(4) + sum_(j=1)^(5) ""^(52 -j)C_(3) `

Answer» दिया गया व्यंजक `""^(47)C_(4) + sum_(j=1)^(5) ""^(52 -j)C_(3) `
दिया गया व्यंजक `""^(47)C_(4) + sum_(j=1)^(5) ""^(52 -j)C_(3) `
` ""^(47)C_(4) + (""^(51)C_(3) +""^(50)C_(3)+""^(49)C_(3)+""^(48)C_(3)+""^(47)C_(3))`
` = (""^(47)C_(4)+ ""^(47)C_(3)) + (""^(48)C_(3)+""^(49)C_(3) + ""^(50)C_(3)+""^(51)C_(3)) `
` ""^(48)C_(4) + ""^(48)C_(3)+""^(49)C_(3)+""^(50)C_(3)+ ""^(51)C_(3)" " because ""^(47)C_(4)+""^(47)C_(3)= ""^(48)C_(4)]`
`= (""^(48)C_(4) + ""^(48)C_(3)) + (""^(49)C_(3) + ""^(50)C_(3) + ""^(51)C_(3))`
` = (""^(49)C_(4) + ""^(49)C_(3)) + (""^(50)C_(3) + ""^(51)C_(3))`
` = (""^(50)C_(4) + ""^(50)C_(3)) + ""^(51)C_(3) = ""^(51)C_(4) + ""^(51)C_(3) = ""^(52)C_(4)` .


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