Question

In how many ways can the letters of the word STRANGE be arranged so that the vowels many appear in the odd places?

Answer 1

consonants $=5$

vowels $=2$

odd places $=4$

arrangement of vowels $4\times 3=12$

place left for consonant $=5$

number of arrangement $=5\times 4\times 3\times 2\times 1=120$

total number of arrangement $=120\times 12=1440$