Permutations & Combinations Mcqs

MCQ: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?

1. 63
2. 511
3. 1023
4. 15

MCQ: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?

1. 400
2. 500
3. 600
4. 20

MCQ: In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

1. 25
2. 13
3. 40
4. 30

MCQ: A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?

1. ⁹C₂
2. ³C₂
3. ¹⁶C₂
4. ¹²C₂

MCQ: How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}

1. 60
2. 360
3. 120
4. 240

MCQ: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?

1. 360
2. 60
3. 300
4. 180

MCQ: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?

1. (6!)2
2. 6! * ⁷P₆
3. 2(6!)
4. 6! * 7

MCQ: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?

1. 216
2. 243
3. 215
4. 729

MCQ: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?

1. 165
2. 185
3. 205
4. 225

MCQ: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?

1. 100
2. 60
3. 30
4. 20