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Five applicants are simultaneously applying for two different jobs in a company. In how many ways can these jobs be filled?

Sagot :

[tex] \bold{ \red{ \large{question :} } } [/tex]

Five applicants are simultaneously applying for two different jobs in a company. In how many ways can these jobs be filled?

[tex] \large{ \large{ \red{ \mathcal{GIVEN :} } } } [/tex]

N = 5

R = 2

N - R = 6

[tex] \red{ \large{ \mathcal{SOLUTION :} } } [/tex]

C (n, r) = n! / (r! × (n - r)!)

C (5, 2) = 5! / 2!(5 - 2)!

C (5, 2) = 5! / 2! 3!

C (5, 2) = 1×2×3×4×5 / 1×2 × 1×2×3

C (5, 2) = 120 / (2 × 6)

C (5, 2) = 120 / 12

C (5, 2) = 10

  • Therefore, there are 10 ways to filled a job.

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