Home
Class 12
MATHS
The total number of ways in which six '+...

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

Text Solution

Verified by Experts

The correct Answer is:
35
First arrange six '+' signs four places can be selected in `.^(7)C_(4)` ways, in which they can be arranged in only one way.
`therefore` Required number of arrangements are `= .^(7)C_(4)=35`
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of ways in which 5 ladies and 7 gentlemen can be seated in a round table so that no two ladies sit together, is

The number of ways in which 7 boys and 3 girls may be arranged in a row so that the girls may be together is

Find the number of ways in which 10 different diamonds can be arranged to make a necklace.

The number of ways in which six boys and six girls can be seated at a round table so that no two girls sit together and two particular girls do not sit next to a particular boy is

The number of ways in which a 7 people can sit around a round table is

Find the number of ways in which 5 girls and 5 boys can be arranged in row (i) if no two boys are together. (ii) if boys and girls are alternate. (iii) all the girls sit together and all the boys sit together. (iv) all the girls are never together.

Find the total number of way in which n distinct objects can be put into two different boxes

The number of ways in which the letters of the word PESSIMISTIC can be arranged so that no two S's are together, no of two I's are together and letters S and I are never together is

In how many ways 5 boys and 4 girls can be seated in a row so that no two girls are together.