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
 Correct Answer: C 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 $ .Show Answer
  Answer:
Solution:
 BETA
  BETA 
             
             
           
           
           
          