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JEE Advance - Mathematics (1982 - No. 27)

The value of the expression $$\,{}^{47}{C_4} + \sum\limits_{j = 1}^5 {^{52 - j}\,{C_3}} $$ is equal to
$${}^{47}{C_5}$$
$${}^{52}{C_5}$$
$${}^{52}{C_4}$$
none of these

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