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If nPr = 1814400 and nCr = 45, find n+4Cr+3 .

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If nPr = 1814400 and nCr = 45, find n+4Cr+3 .

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nPr = 1814400, nCr = 45

\(\therefore\) n(n - 1)(n - 2)(n - 3)(n - 4)(n - 5)(n  -6)(n - 7)

= 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3

Comparing on both sides, we get

n = 10

= 364

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