badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

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

Please check your email for login details.
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
Menu
Grade: 11

                        

Suppose 36 objects are placed along a circle at equal distances. In how many ways can 3 objects be chosen from amongst them so that no two of the three chosen objects are adjacent nor diametrically opposite.

5 months ago

Answers : (1)

Arun
24742 Points
							
One can choose 3 objects out of 36 objects in (36,3) ways. Among these choices all would be together in 36 cases; exactly two will be together in 36 x 32 cases. Thus three objects can be chosen such that no two adjacent in (36,3) - 36 - (36 x 32) ways. Among these, furthrer, two objects will be diametrically opposite in 18 ways and the third would be on either semicircle in a non adjacent portion in 36 - 6 = 30 ways. Thus required number is
 
36c3 - 36 - (36*32) - (18*30)
5 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


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


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details