If n C r - n C r -1 and n P r - n P r -1- then the value of n isA- 4B- 2C- 5D- 3

The correct option is D 3 The conditions provided that n r = r 1 ∴ r = n+1/2 So if we put n = 3, then r = 2 satisfies the conditions. ...

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If n C r = n ...

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If $^{n} C_{r}$ = $^{n} C_{r - 1}$ and $^{n} P_{r}$ = $^{n} P_{r + 1}$ , then the value of n is

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^{n} P_{r} =^{n} P_{r + 1}

^{n} C_{r} =^{n} C_{r - 1}

n

r

^{n} P_{r} =^{n} P_{r}_{+}_{1}

^{n} C_{r} =^{n} C_{r}_{-}_{1}

^{n} P_{r} =^{n} P_{r + 1}

^{n} C_{r} =^{n} C_{r - 1}

r

^{n} P_{r} =^{n} P_{r + 1}

^{n} C_{r} =^{n} C_{r - 1}

(i)

^{m + r} P_{2} = 90

^{m - r} P_{2} = 30

(i i)

^{n} P_{r} =^{n} P_{r + 1}

^{n} C_{r} =^{n} C_{r - 1}

m + n - r

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