If the question was to find the number of ways of making six people sit on six chairs, the answer would have been 6! which is equal to 6x5x4x3x2x1=720.
6 People in a round table can be seated in (6 – 1) ! ways = 120.
Similarly, how many different seating arrangements are possible for 6 people in 4 chairs? 15
In this manner, how many ways can 6 people sit in 6 seats?
SOLUTION: how many different ways can 6 people sit in a row with 6 seats. 6*5*4*3*2*1=720 DIFFERENT WAYS 6 PEOPLE CAN BE SEATED. total no. of ways = 6P6 = 6!
How many ways can 7 people sit around a table?
In a straight line (i.e. seating seven people in seven chairs next to each other), there are clearly 7! ways. But when they are joined in a circle, a rotation still counts the same way of seating everyone. You’ll notice that there are 7 possible rotations in this case (since seven chairs).
How many ways can 4 numbers be arranged?
Again if repetition is not allowed then we can fill first place by any of these 5 digits now we can fill second place by only 4 numbers, third place by 3 digits,forth place by 2 remaining number then fifth place by remaining last number. So we can arrange these numbers by 5*4*3*2*1 ways (i.e. by 120 ways).
How many ways can 4 people sit in 4 chairs?
There are 4! = 4*3*2*1 = 24 different ways 4 people can be seated in 4 seats (given that the order matters).
How many ways can 7 people be arranged?
There are 5040 ways to arrange the seven people.
What is permutation formula?
The number of permutations of n objects taken r at a time is determined by the following formula: P(n,r)=n! (n−r)! Example. A code have 4 digits in a specific order, the digits are between 0-9.
How many combinations of 3 items are there?
There are, you see, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So we just divide by 6.
How many combinations of 1 4 numbers are there?
It also means that when we selected one item (four choices), we created four different combinations with three items. Now we now all of the combinations and can add them up: 1 + 4 + 6 + 1 + 4 = 16 different possibilities. A related topic to combinations is “permutations”.
How many combinations of ABCD are there?
How do you calculate combinations?
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! * (n – r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.
Can 6 people sit in 5 seat car?
Apparently, you can fit it to a 5 seat car and legally carry 6 people.
How many ways can 4 people sit in 12 chairs?
1 Answer. I broke the question down into 2 parts, then solved them and multiplied the answer to get 11,880 ways.
How many ways can 10 students be seated in a row?
How many ways can 8 adults be arranged in 5 chairs?
How many ways can a group of 6 people be seated around a table if 2 of them insist on sitting beside each other?
There are 48 ways of sitting 6 people in a table with two of them insisting to be sitting beside each other.
How many ways can 5 people sit in 5 seats?