×

#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
```
A MAN HAS 7 RELATIVES,4 OF THEM ARE LADIES AND 3 GENTLEMEN.HIS WIFE HAS ALSO 7 RELATIVES AND 4 GENTLEMEN.IN HOW MANY WAYS CAN THEY INVITE A DINNER PARTY OF 3 LADIES AND 3 GENTLEMEN SO THAT THERE ARE 3 OF MAN’S RELATIVES AND 3 OF THE WIFE’S RELATIVES?
A MAN HAS 7 RELATIVES,4 OF THEM ARE LADIES AND 3 GENTLEMEN.HIS WIFE HAS ALSO 7 RELATIVES AND 4 GENTLEMEN.IN HOW MANY WAYS CAN THEY INVITE A DINNER PARTY OF 3 LADIES AND 3 GENTLEMEN SO THAT THERE ARE 3 OF MAN’S RELATIVES AND 3 OF THE WIFE’S RELATIVES?

```
4 years ago

Shubham Pitroda
41 Points
```							There are total 7 relatives in both of mens as well as wives....according to questions we have to select 3 relatives from both of them so 7c3 +7c3 so you will get answer 70....-Shubham Pitroda
```
4 years ago
Aryan
11 Points
```							There four possibilities:(i) 3 ladies from husband’s side and 3 gentlemen from wife’s side.No. of ways in this case= 4 C3 x 4 C3 = 4 x 4 = 16(ii) 3 gentlemen from husband’s side and 3 ladies from wife’s side.No. of ways in this case = 3 C3 x 3 C 3 = 1 x 1 = 1(iii) 2 ladies and one gentleman from husband’s side and lady and 2 gentlemen from wife’s side.No. of ways in this case= (4 C4 x 3 C1) x (3 C1 x 4 C2) = 6 x 3 x 3 x 6 = 324(iv) One lady and 2 gentlemen from husband’s side and 2 ladies and one gentlemen from wife’s side.No. of ways in this case= (4 C1 x 3 C2) x (3 C2 x 4 C1) = 4 x 3 x 3 x 4 = 144Hence the total no. of ways are= 16 + 1 + 324 + 144 = 485.
```
2 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Algebra

View all Questions »

### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution

### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions