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 Maths Questions, Permutation & Combination Questions / By mathemerize Solution : The number of choices available to him = \(^5C_4\) x \(^8C_6\) + \(^5C_5\) x\(^8C_5\) = 5.4.7 + 8.7 = 140 + 56 = 196 Similar Questions 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 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 ? If the letters of the word ‘SACHIN’ are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number 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
