Question of the Day (04-Sep-20)
Bini and Vini play a game of words using an unbiased die. They have defined a word simply as a collection of letters. If the outcome of throwing the die is 1, 3 or 5, odd numbered letters of the alphabet are selected, while if it is 2, 4 or 6, even numbered letters of the alphabet are selected. The objective is to make words from the letters so selected. In two turns, Bini threw the die twice and did not get a composite number in any of the throws. Every time she threw the die, she first formed all the words possible, returned the letters of the alphabet that were selected, and only then threw the die again. From the letters she could select, she decided to make a 3-letter word containing three different letters including atleast one vowel. How many words of this kind did she make?