To solve this problem, we need to consider the number of ways we can choose a vowel and two consonants from the word "VERTICAL", and then arrange these letters.

Step 1: Identify the vowels and consonants in the word "VERTICAL". The vowels are E, I, A and the consonants are V, R, T, C, L.

Step 2: Determine the number of ways to choose a vowel and two consonants. We have 3 choices for the vowel and 5 choices for each of the two consonants. However, since we cannot use a letter more than once, after we have chosen the first consonant, we only have 4 choices left for the second consonant. So, the total number of ways to choose the letters is 3 * 5 * 4 = 60.

Step 3: For each choice of 3 letters, we have 1 way to arrange them (vowel between two consonants).

So, the total number of three-letter arrangements is 60. Therefore, the answer is (b) 60.

Question

To solve this problem, we need to consider the number of ways we can choose a vowel and two consonants from the word "VERTICAL", and then arrange these letters.

Step 1: Identify the vowels and consonants in the word "VERTICAL". The vowels are E, I, A and the consonants are V, R, T, C, L.

Step 2: Determine the number of ways to choose a vowel and two consonants. We have 3 choices for the vowel and 5 choices for each of the two consonants. However, since we cannot use a letter more than once, after we have chosen the first consonant, we only have 4 choices left for the second consonant. So, the total number of ways to choose the letters is 3 * 5 * 4 = 60.

Step 3: For each choice of 3 letters, we have 1 way to arrange them (vowel between two consonants).

So, the total number of three-letter arrangements is 60. Therefore, the answer is (b) 60.

Knowee AI · Accepted Answer

To solve this problem, we need to consider the number of ways we can choose a vowel and two consonants from the word "VERTICAL", and then arrange these letters.

Step 1: Identify the vowels and consonants in the word "VERTICAL". The vowels are E, I, A and the consonants are V, R, T, C, L.

Step 2: Determine the number of ways to choose a vowel and two consonants. We have 3 choices for the vowel and 5 choices for each of the two consonants. However, since we cannot use a letter more than once, after we have chosen the first consonant, we only have 4 choices left for the second consonant. So, the total number of ways to choose the letters is 3 * 5 * 4 = 60.

Step 3: For each choice of 3 letters, we have 1 way to arrange them (vowel between two consonants).

So, the total number of three-letter arrangements is 60. Therefore, the answer is (b) 60.

How many three-letter arrangements can be made from the letters in VERTICAL if no letter can be used more than once and each arrangement is made up of a vowel between two consonants?a.75b.60c.12d.23

Question

Solution

Similar Questions

Upgrade your grade with Knowee