Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

(a)[2]

Determine the number of distinct arrangements of the 8 letters in the word DECEIVED in which all three Es are together and the two Ds are together.

(b)[4]

Determine the number of distinct arrangements of the 8 letters in the word DECEIVED in which the three Es are not all together.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies the factorial method, for example $5!$

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