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Fractional Exponent

8 C 4=

Question

$^{8} C_{4} =$ ______.

_

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Solution

$^{n} C_{r} = \frac{n!}{r! (n - r)!}$

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Similar questions

^{8} C_{4} +^{8} C_{5} =^{9} C_{4}

Q. What is the value of

^{8} c_{4} +^{8} c_{3}

Q. The value of

^{10} C_{4} +^{9} C_{4} +^{8} C_{4} + . . . +^{5} C_{4}

is-------------

(1 + x)^{n} = C_{0} + C_{1} x + C_{2} x^{2} + c_{2} x^{n}

Find the value of

3 C_{3} + 8 C_{4} + 15 C_{5} + 324 C_{6} + . . (n - 1) t e r m s

Q. Assertion :A bag contains 10 balls in which 3 are identical, then number of ways of selecting 6 balls from the bag is

^{8} C_{2} +^{8} C_{4}

Reason: If a lot has n things out of which p are identical then number of ways of selecting r things from the lot is

r \sum r = r - p

^{n - p} C_{r}

r > p .

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