# Gr. 12 Data MAnagement

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In how many ways can the letter of the word SECTION be arranged if the consonants must always be in the order in which they occur in the word itself?

• Gr. 12 Data MAnagement -

without restrictions there would be 7! ways or 5040

The EIO can be arranged in 3! or 6 ways, but we want only one of these sequences.

so the number of arrangements is 5040/6 = 840

(somebody check my thinking on this)

• Gr. 12 Data MAnagement -

thank you

• Gr. 12 Data MAnagement -

wrong its 210

• Gr. 12 Data MAnagement -

Don't know why, that's just what the back of the book says :s

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