How many ways the letters of the word CHEMISTRY be arranged? How many of these begin with M? (Without repeating the letters)

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Solution

There are 9 letters in the word CHEMISTRY.

∴Number of arrangements = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =

If we fix the first letter with ‘M’, then the remaining 8 letters can be arranged in 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways.

Thus, 40320 words begin with M.

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How many ways the letters of the word CHEMISTRY be arranged? How many of these begin with M? (Without repeating the letters)

There are 9 letters in the word CHEMISTRY. ∴Number of arrangements = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = If we fix the first letter with ‘M’, then the remaining 8 letters can be arranged in 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways. Thus, 40320 words begin with M.

There are 9 letters in the word CHEMISTRY.

∴Number of arrangements = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =

If we fix the first letter with ‘M’, then the remaining 8 letters can be arranged in 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways.

Thus, 40320 words begin with M.