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Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word ROCK.a. The number of ways you can arrange all of the letters in the word is .b. The number of ways you can arrange two of the letters in the word is .

Question

Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word ROCK.a. The number of ways you can arrange all of the letters in the word is .b. The number of ways you can arrange two of the letters in the word is .

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Solution 1

a. The number of ways you can arrange all of the letters in the word "ROCK" is 4! (4 factorial), which is 432*1 = 24 ways. This is because there are 4 different letters and we can use each one of them once.

b. The number of ways you can arrange two of the letters in the word "ROCK" is 4P2 (Permutation of 4 items taken 2 at a time), which is 4*3 = 12 ways. This is because we are choosing 2 letters out of 4 and the order in which we choose them matters.

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Solution 2

Sure, I can do that. But first, you need to provide the text you want me to respond to.

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