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How many words can be formed by using all the letters of the word 'Monday' if each word starts with a consonant?

a. 72
b. 120
c. 240
d. 360

User Sirjay
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1 Answer

6 votes

Final answer:

The number of words that can be formed by using all the letters of the word 'Monday' if each word starts with a consonant is 360.

correct option is d. 360

Step-by-step explanation:

To find the number of words that can be formed by using all the letters of the word 'Monday' if each word starts with a consonant, we need to determine the number of options for the first letter and then multiply it by the number of permutations of the remaining letters.

The word 'Monday' has 6 letters, and out of these, 3 are consonants (M, N, D) and 3 are vowels (O, A, Y).

So, there are 3 options for the first letter (M, N, D), and once we choose the first letter, we have 5 remaining letters to form the rest of the word. Therefore, the total number of words that can be formed is 3 * 5! = 3 * 120 = 360.

User Daniel Lowman
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