In how many ways can 4 girls and 5 boys be arranged in a row so that all the four girls are together?
Answers
Hey
Here is your answer,
Let 4 girls be one unit and now there are 6 units in all.
They can be arranged in 6! ways.
In each of these arrangements 4 girls can be arranged in 4! ways.
Total number of arrangements in which girls are always together
= 6! x 4!
= 720 x 24
= 17280
Hope it helps you!
Answer:
This is based on PnC
Step-by-step explanation:
Objects from a set that may or may not be chosen, usually without replacement, to construct subsets, are referred to as permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.
There are currently a total of 6 units when 4 girls constitute one unit.
6 different arrangements are possible. i.e 6!
4 girls can be put in any of these combinations in 4 different ways. i.e 4!
6 x 4 = 720 x 24 or 17280 total combinations where the females are always together.
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