In how many different ways can 2 candidates be selected from a group of 25 applicants?...

Question

Question

In how many different ways can 2 candidates be selected from a group of 25 applicants?

300

560

1140

2300

Answer 1

Answer #1

Solution

_n C _x = n! / x!(n - x)!

n! = n(n - 1)(n - 2) .... and so on .

n = 25 and x = 2

₂₅ C ₂ = 25! / 2!(25 - 2)! = 25! / 2!(23)! = 25 * 24 / 2 * 1 = 300

300 different ways

Answer 2

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