Grade 12 Permutations Worksheet
This worksheet focuses on permutations, including calculating permutations with and without repetition, and understanding their applications in various scenarios for Grade 12 students.
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Grade 12 Permutations Practice
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. In how many distinct ways can the letters of the word 'MATHEMATICS' be arranged?
2. A club has 10 members. In how many ways can a president, vice-president, and secretary be chosen?
3. In how many ways can 5 distinct books be arranged on a shelf if two particular books must always be together?
4. How many different 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 if no digit is repeated and the number must be even?
5. What is the value of P(7, 3)?
21
35
210
840
6. How many distinct permutations can be made from the letters of the word 'MISSISSIPPI'?
34,650
11!
11! / (4!4!2!)
11! / (4!2!)
7. A photographer is arranging 6 people in a row for a picture. If two specific people insist on standing next to each other, how many different arrangements are possible?
8. How many unique ways can the letters of the word 'APPLE' be arranged if the two 'P's are indistinguishable?