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Q.

If $^{31} C_{5} -^{30} C_{4} -^{29} C_{4} -^{28} C_{4} - ..... -^{k + 1} C_{4} -^{k} C_{4} = 1,$ then the value of $k^{2}$ is

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answer is 25.

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Detailed Solution

$^{k} C_{r} +^{k} C_{r - 1} =^{k + 1} C_{r}$

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If 31C5−30C4−29C4−28C4−.....−k+1C4−kC4=1, then the value of k2 is