Permutation and Combination PDF

Fundamental of principle of counting For GATE DA Course & Test Series, visit: www.piyushwairale.com  Multiplication Principle For GATE DA Course & Test Series, visit: www.piyushwairale.com  Addition Principle For GATE DA Course & Test Series, visit: www.piyushwair...

Fundamental of principle of counting For GATE DA Course & Test Series, visit: www.piyushwairale.com  Multiplication Principle For GATE DA Course & Test Series, visit: www.piyushwairale.com  Addition Principle For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q1 A password consists of 2 letters followed by 3 digits. How many different passwords can be created? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q2 A restaurant offers 4 appetizers, 5 main courses, and 3 desserts. How many different 3-course meals can be ordered? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q3 A library has 4 fiction books and 6 non-fiction books. How many different choices do you have if you can select one book? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q4 A school offers 3 sports activities (basketball, soccer, and tennis) and 4 arts activities (painting, music, dance, and theater). How many different activities can a student choose to participate in? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q5 How many 3-digits even numbers can be formed from the digits 1,2,3,4,5,6. If the digits can be repeated For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q6 How many different numbers of two-digits can be formed with the digits 1,2,3,4,5,6, no digits being repeated? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q7 How many different numbers of two-digits can be formed with the digits 1,2,3,4,5,6, numbers can be repeated? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q8 How many different three-digit numbers can be formed using the digits 2, 3, 4, 5, 7, and 8, with no digits being repeated? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q9 How many different two-digit even numbers can be formed using the digits 1, 2, 3, 4, 5, and 6, with no digits being repeated? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Q10 How many different two-digit numbers greater than 50 can be formed using the digits 1, 2, 3, 4, 5, and 6, with no digits being repeated? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Factorials For GATE DA Course & Test Series, visit: www.piyushwairale.com  Factorials For GATE DA Course & Test Series, visit: www.piyushwairale.com  Factorials For GATE DA Course & Test Series, visit: www.piyushwairale.com Vowels/Consonants/Letter comes together For GATE DA Course & Test Series, visit: www.piyushwairale.com Vowels/Consonants/Letter comes together For GATE DA Course & Test Series, visit: www.piyushwairale.com Vowels/Consonants/Letter never comes together For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation A permutation is an arrangement of all or part of a set of objects in a specific order. For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation with repetition For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation with repetition The number of natural numbers less than 7,000 which can be formed by using the digits 0,1,3,7,9 (repetition of digits allowed) is equal to For GATE DA Course & Test Series, visit: www.piyushwairale.com  Circular Permutation For GATE DA Course & Test Series, visit: www.piyushwairale.com  Circular Permutation If 6 boys and 5 girls are to be seated around a circular table such that no two girls seat toghter, then the number of seating arrangements is: For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation For GATE DA Course & Test Series, visit: www.piyushwairale.com  Permutation For GATE DA Course & Test Series, visit: www.piyushwairale.com  Combination For GATE DA Course & Test Series, visit: www.piyushwairale.com  Combination For GATE DA Course & Test Series, visit: www.piyushwairale.com  Combination For GATE DA Course & Test Series, visit: www.piyushwairale.com  Combination Picking a team of 3 people from a group of 10. Picking a President, VP and Waterboy from a group of 10. For GATE DA Course & Test Series, visit: www.piyushwairale.com  Combination There are 10 people at a party who shakes hands with each other. If each two of them shake hands with each other, how many handshakes happen at the party? How many ways a 5-member committee can be formed out of 10 people if two particular people must be included? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Combination A team of four has to be selected from 6 boys and 4 girls. How many different ways a team can be selected if at least one boy must be there in the team? For GATE DA Course & Test Series, visit: www.piyushwairale.com  Combination A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is For GATE DA Course & Test Series, visit: www.piyushwairale.com