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Administrative Hierarchy in Ensuring the Implementation of RTI

If n P r =336...

Question

If ⁿP_r = 336 and ⁿC_r = 56 find n and r.

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Solution

It is given that and .

Substituting in (1), we get:

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If $^{n} P_{r} = 336,^{n} C_{r} = 56$ , then find n and r and hence find $^{n - 1} C_{r - 1}$

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

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

, find n and r.

^{n} P_{r} = 5040

^{n} C_{r} = 210

n

r

(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

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

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

, then the values of n and r are:

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