Question Text
Question 1 :
A five digit number divisible by $3$ is to be formed using the numerals $0, 1, 2, 3, 4$ and $5$ without repetition. The total number of ways in which this can be done is:
Question 2 :
How many four-letter computer passwords can be formed using only the symmetric letters (no repetition allowed)?
Question 3 :
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is
Question 4 : <p>The total number of different combinations of one<br/>or more letters which can be made from the letter of the word MISSISSIPPI is,</p>
Question 5 :
After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all, how many persons were present in the party?
Question 6 :
Let E denote the set of letters of the English alphabet, $V = \{a, e, i, o , u\}$ and C be the complement of V in E. Then, the number of four letter words (where repetitions of letters are allowed) having at least one letter from V and at least one letter from C is
Question 7 :
Words with meaning or without meaning are formed in the order opposite to that of in a dictionary, then the rank of the word '$HORROR$' is<br/>
