Find the number of ways the word (SQUARE) can be arranged with the first three letters being consonants and the last three being vowels
There are 2 consonants (S, Q, R) and 3 vowels (U, A, E) in the word SQUARE.
To find the number of ways the word can be arranged with the first three letters being consonants and the last three being vowels, we first have to determine the number of ways we can arrange the consonants and vowels separately:
Number of ways to arrange the 2 consonants in 3 positions = 2P3 = 6
Number of ways to arrange the 3 vowels in 3 positions = 3P3 = 6
Therefore, the total number of ways to arrange the word SQUARE with the first three letters being consonants and the last three being vowels = 6 x 6 = 36.