There are 7 couples in a dance party. How many dance pairs can be there such that exactly 2 pairs are the original couples?

765

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

924

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

1222

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

904

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

none of these

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

Open in App

Solution

The correct option is B 924
Number of ways of selecting 2 couples out of $7 =^{7} C_{2}$

Derangement of 5 couples can be done in 44 ways.

Total number of ways = 924

Suggest Corrections

Similar questions

Q. If a couple dance competition happens between

7

married couples, then the number of such possible pairs that can be made such that no couple dances in the same pair is

Q. Four newly married couples are dancing at a function. The selection of the partner is random. The number of ways that exactly one husband is not dancing with his own wife is:

Q. In a party there are

25

men and

20

women, then in how many ways a couple (one man with one woman) can be formed, when

2

particular men and

5

particular women refuse to be part of any couple?

Q. Q. At a party each man danced with exactly four women and each women danced with exactly three men . Nine women attented the party .How many women attented the party?

There are 13 couples, 5 single males and 7 single females in party. Every male shakes hand with every female once. But none shakes hand with his wife. How many handshakes in total took place in the party?

Join BYJU'S Learning Program

There are 7 couples in a dance party. How many dance pairs can be there such that exactly 2 pairs are the original couples?

The correct option is B 924Number of ways of selecting 2 couples out of 7=7C2 Derangement of 5 couples can be done in 44 ways. Total number of ways = 924

The correct option is B 924
Number of ways of selecting 2 couples out of $7 =^{7} C_{2}$

Derangement of 5 couples can be done in 44 ways.

Total number of ways = 924