Word Scramble

Probability Level 1

How many ways are there of arranging the letters of COFFEE to form a six-letter sequence?


The answer is 180.

Jessica Loraine Gan by Jessica Loraine Gan , 18, Philippines

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2 solutions

nPn/rPr= \frac{6!}{2!2!} \frac{720}{4} = 180

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how can you do kindly help me

Harmain Rana - 7 years, 1 month ago

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use a upgraded casio calculator then type this 6!/(2!=2!)

Mark Lawrence Ureta - 6 years, 8 months ago

In the word C O F F E E COFFEE , there are 2 − F ′ s 2-F's and 2 − E ′ s 2-E's , therefore

N = 6 ! 2 ! 2 ! = N=\dfrac{6!}{2!2!}= 180 \color{#D61F06}\boxed{180}

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