Table of Contents
- 1 How many ways can 6 persons be seated in 4 chairs?
- 2 How many ways can 4 students be chosen from a class of 14?
- 3 How many ways can six people be seated in six seats if the first seat is always occupied by the same person?
- 4 What is 6c4?
- 5 How many men and women do you have to pick?
- 6 How many ways can a number be formed?
How many ways can 6 persons be seated in 4 chairs?
Solution : 1st person can be seated in 6 ways , 2nd person in 5 ways, 3rd person in 4 ways and 4th person in 3 ways. Required number of ways =(6×5×4×3)=360.
How many ways can you choose 4 boys and 4 girls out of 6 boys and 5 girls?
In how many ways can a team of 4 boys and 4 girls be selected out of 6 boys and 5 girls if a particular boy and a particular girl refuse to work together. So, total cases: 45. Answer is given as 35.
How many ways can 4 students be chosen from a class of 14?
In 512 different ways.
How many ways can 6 boys and 6 girls be seated at a round table of 4 particular girls must sit together?
hence answer= 120=12 = 108 ways.
How many ways can six people be seated in six seats if the first seat is always occupied by the same person?
720 ways
Therefore, 720 ways are there for six people to sit in a six-passenger car.
How do you select 4 children from a group of 6 boys and 4 girls in how many ways can this be done such that at least one boy is part of the selected group?
=10×9×8×7×6! 4×3×2×6! =210. Hence the correct option is option D.
What is 6c4?
6. C4 means 6 choose 4. 6. C4 = 15 combinations.
How many ways can boys and girls be arranged?
The boys will be arranged in 20! ways. Now, there are a total of 21 possible places available between boys such that no 2 girls can be placed together (alternate sequence of boys and girls, starting and ending positions for girls). Therefore, the 18 girls can stand at these 21 places only.
How many men and women do you have to pick?
We have to pick 3 men from 6 available men and 3 ladies from 7 available ladies. Required number of ways = 6 C 3 * 7 C 3 = 20 * 35 = 700.
How many places are there between boys and girls?
Now, there are a total of 21 possible places available between boys such that no 2 girls can be placed together (alternate sequence of boys and girls, starting and ending positions for girls). Therefore, the 18 girls can stand at these 21 places only.
How many ways can a number be formed?
Hence, total number of ways = 30 + 15 + 1 = 46 ways. How many 4-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 which are divisible by 5 when none of the digits are repeated? A number is divisible by 5 if and only if its last digit is either 5 or 0.