Just want someone to check over my answer!
How many different ways can the letters of the word RIVAL be scrambled so that the 2 vowels can be together?
Stacey Warren - Expert brainly.com
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nvm it's \[6! / 2!3!\]
Think of the letters AI being 1 letter.
How many ways can you arrange the letters R, V, L, AI?
Then think of the letters IA being 1 letter.
How many ways can you arrange R, V, L, IA?
Then add the two results.
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im so confused.. so would i just do 4!?
Think of the simple problem:
How many ways can you arrange the letters of the "word"
In this case, the answer would be simply the counting principle, 4!, right?
Your case is similar to this case. Since the two letters A and I must be together, they count as a unit. Call the letters A and I together just X. How many ways can you arrange the letters of the "word" RLVX? Answer: 4!
Since AI can be together as AI or as IA, you need to do the counting principle for each way of grouping A and I, so you get 2 * 4!.