Permutations and Combinations 2 The word ARGENTINA include the four consonants R,G,N,T and the vowels A,E,I How many of the arrangements have a consonant at the beginning,then a vowel,then another consonant at the beginning,then a vowel,then another consonant,and so on alternately? My attempted answer: CVCVCVC 4!*3! but textbook says its 720 arrangements

You can arrange the consonants in (5!/2!) ways and the vowels in (4!/2!) ways. Multiplying these gives 720