Permutations and Combinations
The number of ways the letters of the word 'SIGNAL' can be arranged such that the vowels occupy only odd position is
In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?
If N denotes the number of ways of selecting r objects of out of n distinct objects (r≥n) with unlimited repetition but with each object included at least once in selection, then N is equal is a. .r−1Cr−n b. .r−1Cn c. .r−1Cn−1 d. none of these
The streets of a city are arranged like the like the lines of a chess board. There are m streets running from north to south and n streets from east to west. Find the number of ways in which a man can travel from north-west to south-east corner, covering shortest possible distance.
Total number of six-digit numbers that can be formed having the property that every succeeding digit is greater than the preceding digit is equal to a. 9C3 b. 10C3 c. 9p3 d. 10p3