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Evaluate: (i).^(10)C(3) " " (ii) .^...

Evaluate:
(i)`.^(10)C_(3) " " ` (ii) `.^(11)C_(8)`
(iii) `.^(50)C_(48) " " ` (iv)`.^(63)C_(63)`

Text Solution

Verified by Experts

We have
(i) `.^(10)C_(3)=(10xx9xx8)/(3!)=(10xx9xx8)/(3xx2xx1)=120`.
(ii)`.^(11)C_(8)=.^(11)C_((11-8))=.^(11)C_(3)=(11xx10xx9)/(3!)=(11xx10xx9)/(3xx2xx1)=165 [:' .^(n)C_(r)=.^(n)C_(n-r)]`.
(iii) `.^(50)C_(48)=.^(50)C_((50-48))=.^(50)C_(2)=(50xx49)/(2)=1225`.
`.^(63)C_(63)=1 [:' .^(n)C_(n)=1]`.
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