In how many ways can the letters of the word “CONVENIENCE” be arranged so that they begin with 2Ns and end with 2Es?

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Solution

The correct option is D
NN_ _ _ _ _ _ _EE The 7 places have to be filled by 2 Cs, O, N, V, E and I. This can be done in $\frac{7!}{(2!)}$

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In how many ways can the letters of the word “CONVENIENCE” be arranged so that they begin with 2Ns and end with 2Es?

The correct option is D NN_ _ _ _ _ _ _EE The 7 places have to be filled by 2 Cs, O, N, V, E and I. This can be done in 7!(2!)

The correct option is D
NN_ _ _ _ _ _ _EE The 7 places have to be filled by 2 Cs, O, N, V, E and I. This can be done in $\frac{7!}{(2!)}$