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Q.

Words of length 10 are formed using the letters A, B, C D,E,F,G,H,I,J .Let ‘x’ be the number of such words where no letter is repeated ; and let y be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then y9x =

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answer is 5.

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Detailed Solution

x=10!y=10C2×2×10!2!=105×92×2×10!2!=45×10!Therefore, y9x=45×10!9×10!=5

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