Problem Solving MCQ Set 26

Question: A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

1. 9
2. 26
3. 126
4. 3920

Question: How many numbers are there between 100 and 1000 such that atleast one of their digits is 6?

1. 648
2. 258
3. 654
4. 252

Question: How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

1. 510
2. 105
3. 10P5
4. 10C5

Question: How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

1. 5¹⁰
2. 10⁵
3. 10P5
4. 10C5

Question: In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?

1. 9!/4
2. 9!/(4!*5!)
3. 4!*5!
4. None of these

Question: In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

1. 15!/(8!)
2. 7!*8!
3. (15C8)*6!*7!
4. 2*(15C7)*6!*7!