How many ways can 4 girls and 5 boys be arranged in a row so that all four girls are together?
Table of Contents
- 1 How many ways can 4 girls and 5 boys be arranged in a row so that all four girls are together?
- 2 How many ways can 5 boys and 4 girls be arranged in a bench?
- 3 How many arrangements using all of the letters of the word parallel are possible?
- 4 How many ways are there to arrange the letters in Mississippi?
- 5 How many chairs are needed for 4 girls and 5 boys?
- 6 How many ways in which girls can be seated in school?
How many ways can 4 girls and 5 boys be arranged in a row so that all four girls are together?
They can be arranged in 6!
How many ways can 3 boys and 4 girls sit in a row in an alternate position?
You can do this in 3! ×2! =12 ways.
How many ways can 5 boys and 4 girls be arranged in a bench?
= 24 ways. Therefore, number of ways that 5 boys and 4 girls can be arranged in a row so that all boys stands together and all girls stand together = 2*120*24 = 5760.
How many arrangements are in the word mathematics?
The word MATHEMATICS consists of 2 M’s, 2 A’s, 2 T’s, 1 H, 1 E, 1 I, 1 C and 1 S. Therefore, a total of 4989600 words can be formed using all the letters of the word MATHEMATICS.
How many arrangements using all of the letters of the word parallel are possible?
The given word ‘PARALLEL’ has 8 letters, out of which there are 2 A’s, 3 L’s, 1 P, 1 R and 1 E. Number of their arrangements =8!
How many different ways can 5 girls and 5 boys?
There are 2,880 ways can 5 boys and 5 girls form a circle with boys and girls alternate.
How many ways are there to arrange the letters in Mississippi?
34650
∴ Hence the number of ways can the letters in ‘MISSISSIPPI’ be arranged is 34650.
How many ways can the boys and girls sit together?
So the total no of ways the boys and girls can sit so that no 2 girls are together are 5! ∗ 6 P 4 = 120 ∗ 360 = 43200. _B_B_B_B_B_ For boys, there are 5! possibility.
How many chairs are needed for 4 girls and 5 boys?
Originally Answered: 4 girls and 5 boys are to be seated in a row on 9 chairs in such a way that all the four girls always sit together. In how many different ways can it be done? As the question says that all the four girls always sit together, we have to assume all the girls as one entity.
How many boys and girls can be seated in a row?
There are 5 boys and 4 girls. In how many ways can they be seated in a row so that all the girls don’t sit together? Our first step is to seat all the boys, with dashes representing seats and the letter B representing seats filled by boys. 5 seats, 5 boys sit in them:
How many ways in which girls can be seated in school?
There are 5 vacant positions for girls and they can sit in any order among themselves. Therefore, the number of ways in which girls can be seated = 5! Alternatevily means one boy sitting to one girl , there are four boys and 5girls , boy cannot occupy first position as it will end up with 2 girls sitting next to each other