Question

seven student are contesting the election for the presidentship of the student union. in how many ways can there names be listed on the ballot papers?

Answer 1

totally there are 7 students contesting in the elections for presidentship of student union.
only one student will be selected for 1 year
there names can be listed on the ballot papers in accordingly
no.of ways=7!
                 = 7×6×5×4×3×2×1
                 = 5040
∴ there names can be listed on ballot papers in 5040 ways.

Hope it helps u :-)

Answer 2

as there are total 7 students participating in the election and there is only 1 seat for Presidentship,

so only one student will selected among them,

so, the ballot paper will contains name accordingly.

therefore, according to permutation.

7! = 7x6x5x4x3x2x1 = 5040

so, there are 5040 ways to list the name of candidates on ballot paper.