Question 1-9

1. How many different permutations can be formed from the word a) YAHOO b) GOOGLE c) EXPERIMENT d) BEAUTIFUL ") PSYHCHOLOGY 2. A tourist plan to visit 6 different public buildings and 3 different parks in Kuala Lumpur. a) How many different ways can he arrange his visit to all those places b) How many ways can he do this if he visit the parks first 3. A doctor has three examination rooms. There are six patients in the waiting room. In how many different ways can the patients be assigned to the examination rooms? 4. Evaluate each of the following symbols a) 5p2 b) 9p5 c) 6P6 5. In how many ways can the word AMERICA be arranged if a) There is no restriction b) All the letters 'A' must be together c) All the letters ' A' must be separated 6. How many ways can a student choose four out of six questions in examination? 7. There are 12 people entering a room where there are only 10 chairs. How many ways can two people are chosen to remain standing? 8. Given digits 1,2,3,4, and 5 a) How many three digit numbers can be formed using the above digits if no repetitions are allowed? b) How many three digit numbers greater than 300 can be formed using the digits given if no repetitions are allowed? 9. The letters of the word VISION are each written on a card. The cards are then shuffled and placed in a line a) In how many ways can the card be arranged? b) Three letters are chosen at random. Find the probability that at most two letters are vowels