How many ways can 5 boys and 4 girls be arranged on a bench if there are no restrictions?

How many ways can 5 boys and 4 girls be arranged on a bench if there are no restrictions?

=frac 6 * 7 * 5 * 5 * 4 * 3 * 2 * 18 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40.320/1 + 40.320/1 =80.640.

How many ways can 3 persons be arranged in a round table?

So there are two answers: There are 3! = 6 different ways of placing these three people in three distinct chairs. However, it we decide to consider rotated arrangements as basically the same, then there are only 2 ways.

How many ways are there to arrange the first five couples in a round table?

In how many different ways can five people be seated at a circular table? So the answer is 24.

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How many ways you can arrange 5 persons in a row?

1 Expert Answer This question is asking for the number of permutations of 5 people. 120 is your answer.

What are the number of ways of making 5 couples?

Since the 2nd person must be the spouse of the 1st, there is only one choice (= 1 way). Treating each couple as 1 unit, then the 5 couples can be seated 5! = 120 ways.

How many boys and girls sit alternately around a round table?

5 Boys and 5 girls sit alternately around a round table. In how many ways can this be done? If playback doesn’t begin shortly, try restarting your device. Videos you watch may be added to the TV’s watch history and influence TV recommendations.

How many ways can a girl be arranged in a family?

So, there are 5 girls and 5 slots for them that means they can be arranged in 5! ways, similarly boys have 4 slots, so they can be arranged in 4! ways. now, one more thing to consider is that out of 5! arrangements of girls, with each arrangement boys can be arranged in 4! different positions.

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How many ways of arranging 5 boys around a circle?

4! 5!4! First all the boys are arranged in a circle, then the girls in places between the boys. no of ways of arranging 5 boys around a circle is (5−1)!=4!

How many ways can boys and girls sit in the game?

There can be only one arrangement in which boys and girls can sit. but position of individual boy and girls can be changed. similarly boys have 4 slots, so they can be arranged in 4! ways. now, one more thing to consider is that out of 5! arrangements of girls, with each arrangement boys can be arranged in 4! different positions.