In how many ways can $2$ identical green chairs and $4$ identical yellow chairs be arranged in a row?

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

15

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

21

No worries! We‘ve got your back. Try BYJU‘S free classes today!

24

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $15$
We can arrange $4$ identical yellow chairs and $2$ identical green chairs in $\frac{(4 + 2)!}{4! 2!} = \frac{6!}{4! 2!} = 15$

Suggest Corrections

Similar questions

36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room.
How many different arrangements are possible?

10 chairs are arranged in a row and are numbered 1 to 10. 4 men have to be seated in these chairs so that the ending chairs in the row can never be empty. In how many ways can this be done?

In how many ways 4 persons can occupy 10 chairs in a row ,if no two sit on adjacent chairs.

In how many ways can 6 boys and 5 girls be arranged for a group photograph if the girls are to sit on chairs in a row and the boys are to stand in a row behind them?

Q. In a class there are 18 chairs. If 6 chairs are arranged in a row, then how many such rows will be there in the classroom?

Join BYJU'S Learning Program

In how many ways can 2 identical green chairs and 4 identical yellow chairs be arranged in a row?

The correct option is D 15We can arrange 4 identical yellow chairs and 2 identical green chairs in (4+2)!4!2!=6!4!2!=15

In how many ways can $2$ identical green chairs and $4$ identical yellow chairs be arranged in a row?

The correct option is D $15$
We can arrange $4$ identical yellow chairs and $2$ identical green chairs in $\frac{(4 + 2)!}{4! 2!} = \frac{6!}{4! 2!} = 15$