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  •  The number of ways in which six ' + ' and four '-' sings can be arranged in a line such that no two '-. signs occur together isOption:

 The number of ways in which six ' + ' and four '-' sings can be arranged in a line such that no two '-. signs occur together is

Option: 1

30


Option: 2

35


Option: 3

6!5!


Option: 4

10!


Answers (1)

best_answer

Six ' + ' signs can be arranged in just one way. There are seven places for '-' signs as shown in the following figure marked with X.

X+X+X+X+X+X+X

We can choose 4 places out of 7 in { }^{7} C_{4}=35 ways.

Posted by

Pankaj Sanodiya

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