In how many ways can 7 plus (+) and 5 minus (-) signs be arranged in a row so that no two minus (-) signs are together?

Number of ways in which 5 plus (+) signs and 5 minus (-) signs be arranged in a row so that no two minus signs are together is

Number of ways in which 5 plus (+) signs and 5 minus (-) signs be arranged in a ro so that no two minus signs are together is

In how many ways can 7 boys and 5 girls be arranged in a row so that no two girls come together?

In how many ways can 4 boys and 3 girls be arranged in a row so that no two girls come together ?

In how many ways can 8 stars (**) signs and 6 triangle (Delta ) signs be placed in a row so that no two triangle sign are together ?

In how many ways can 8 stars (**) signs and 6 triangle (Delta ) signs be placed in a row so that no two triangle sign are together ?

In how many ways 6 boys and 5 girls can be arranged along a row so that no two girls come together

In how many ways four '+ and five '-' sign can be arranged in a circles so that no two '+' sign are together