In the word SACHIN’ order of alphabets is A, C, H, I, N and S. Number of words start with A = 5!, so with C, H, I, N.
Now, words start with S and after that ACHIN are in ascending order of position, so 5.5! = 600 words are in dictionary before, words with S start and position of this word is 601.
A student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. The number of choices available to him is
The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is
How many ways are there to arrange the letters in the word ‘GARDEN’ with the vowels in alphabetical order ?
The number of ways in which 6 men and 5 women can dine at a round table, if no two women are to sit together, is given by
At an election, a voter may vote for any number of candidates not greater than the number of candidates to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for atleast 1 candidate, then the number of ways in which he can vote is