The value of 30 C 030 C 1 030 C 130 C 11-30 C 230 C 12- - -30 C 2030 C 30 isA- 40 C 30B- 60 C 20C- 30 C 10D- 60 C 30

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The value of ...

Question

The value of $^{30} C_{0}$ $^{30} C_{1} 0$ - $^{30} C_{1}$ $^{30} C_{11}$ + $^{30} C_{2}$ $^{30} C_{12}$ - .......... + $^{30} C_{20}$ $^{30} C_{30}$ is

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^{30} C_{0} - \frac{^{30} C_{1}}{2} + \frac{^{30} C_{2}}{3} - \dots \dots + \frac{^{30} C_{30}}{31}

^{30} C_{0} - \frac{^{30} C_{1}}{2} + \frac{^{30} C_{2}}{3} - \dots \dots + \frac{^{30} C_{30}}{31}

\frac{^{30} C_{0}}{1}, \frac{^{30} C_{2}}{3}, . . . . ., \frac{^{30} C_{20}}{21}, . . . ., \frac{^{30} C_{22}}{23}, . . . ., \frac{^{30} C_{30}}{31}

1 \cdot^{20} C_{0} + 2 \cdot^{20} C_{1} \cdot^{30} C_{1} + 1 \cdot^{20} C_{0} + + 3 \cdot^{20} C_{2} \cdot^{30} C_{2} + \dots + 21 \cdot^{20} C_{20} \cdot^{30} C_{20}

^{50} C_{20} + 20 \cdot^{49} C_{q}

q

\frac{q}{q + 5}

$(^{30} C_{0}) (^{30} C_{10}) - (^{30} C_{1}) (^{30} C_{11}) + . . . . . (^{30} C_{20}) (^{30} C_{30})$ is equal to

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