Permutations And Combinations Question 133

Question: Six ‘+’ and four ‘-’ signs are to placed in a straight line so that no two ‘-’ signs come together, then the total number of ways are [IIT 1988]

Options:

A) 15

B) 18

C) 35

D) 42

Show Answer

Answer:

Correct Answer: C

Solution:

The arrangement can be made as $ 2b _{n}=\frac{n}{^{n}C_0}+\frac{n}{^{n}C_1}+……+\frac{n}{^{n}C _{n}} $ , the $ (-) $ signs can be put in 7 vacant (pointed) places. Hence required number of ways $ {{=}^{7}}C_4=35 $ .



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें