Permutations and Combinations 2

Question

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

The word ARGENTINA has 9 letters (with two "A" and two "N") – kennytm Apr 26 '15 at 19:59 — kennytm, Apr 26 '15 at 19:59

score 3 · Accepted Answer · answered Apr 26 '15 at 20:06

3

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

answered Apr 26 '15 at 20:06

David Quinn

34,121

Permutations and Combinations 2

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