Permutation & Combination
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Q. A box contains 3 red balls and 2 blue balls. In how many ways can 2 balls be selected from the box?
Q. A password consists of 3 letters followed by 2 digits. How many different passwords can be formed if letters can be repeated but digits cannot? (2000)
Q. From a group of 8 people, how many ways can a team of 4 be selected?
Q. How many different ways can 3 men and 2 women be seated in a row?
Q. How many different ways can the letters of the word 'SCHOOL' be arranged?
Q. How many ways can 5 different colored balls be placed in 3 different boxes if each box can hold any number of balls?
Q. How many ways can 5 students be seated in a row of 5 chairs?
Q. How many ways can the letters of the word 'LEVEL' be arranged?
Q. If 4 different books are to be arranged on a shelf, how many arrangements are possible?
Q. If 4 different books are to be arranged on a shelf, how many different arrangements are possible?
Q. If 6 different colored balls are to be arranged in a row, how many arrangements are possible?
Q. If a committee of 3 is to be formed from 5 people, how many different committees can be formed?
Q. If a committee of 3 members is to be formed from a group of 5 people, how many different committees can be formed?
Q. If a lock has 4 digits, how many different combinations can be formed if digits can be repeated?
Q. If a lock has 4 digits, how many different combinations can be formed using the digits 0-9?
Q. If a lock requires 3 different digits from 0 to 9, how many different combinations can be formed?
Q. If a lock requires 3 digits, how many different combinations can be formed using the digits 0-9?
Q. If a lock requires a 3-digit code using the digits 0-9, how many different codes can be formed if digits cannot be repeated?
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the English alphabet and digits?
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using 26 letters and 10 digits?
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 3 letters of the alphabet and the first 5 digits?
Q. If a student can choose 2 subjects from 5 available subjects, how many different combinations can be made?
Q. If a student can choose 2 subjects from 5 available subjects, how many different combinations of subjects can be chosen?
Q. If a team of 4 is to be selected from 10 players, how many different teams can be formed?
Q. If a team of 4 is to be selected from 8 players, how many different teams can be formed?
Q. If a team of 5 is to be selected from 10 players, how many different teams can be formed?
Q. In how many different ways can the letters of the word 'MATH' be arranged?
Q. In how many ways can 3 different gifts be distributed among 4 children?
Q. In how many ways can 3 students be selected from a class of 10?
Q. In how many ways can 3 students be selected from a class of 8 to represent in a competition?
