[tex] \bold{ \red{ \large{question :} } } [/tex]
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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?
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[tex] \large{ \large{ \red{ \mathcal{GIVEN :} } } } [/tex]
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N = 5
R = 2
N - R = 6
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[tex] \red{ \large{ \mathcal{SOLUTION :} } } [/tex]
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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
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- Therefore, there are 10 ways to filled a job.
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#Carryonlearning
