Out of 7 possible ways subract the one having either all vowel together or no vowel are together.(8) How many words are there in which first and last letters are vowels? (9) If arrangements formed are arranged in dictionary form, then what is the position of the word RAINBOW in that dictionary? Total ways of arranging the letters = 7! = 5040 ways.

Answer:[tex]\huge \bold {\fbox{\underline \purple{ ❥Answer࿐}}}[/tex]

Out of 7 possible ways subract the one having either all vowel together or no vowel are together.(8) How many words are there in which first and last letters are vowels? (9) If arrangements formed are arranged in dictionary form, then what is the position of the word RAINBOW in that dictionary? Total ways of arranging the letters = 7! = 5040 ways.[tex]\huge \bf \underline{ \underline{Question}}[/tex]

In how many ways can the letters of the word RAINBOW be arranged?

[tex]\huge \bf \underline{ \underline{Answer}}[/tex]

RAINBOWhas 7 letters.━━━━━━━━━━━━━━━━━━━━━━━━━

Therefore it can be arranged in 7! ways.

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

7! = 5040

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The letters of the word RAINBOW can be arranged in

5040ways!━━━━━━━━━━━━━━━━━━━━━━━━━