in how many ways can a club choose a president, a treasurer, a secretary, and three other committee members (with identical duti

Question

9 months ago

13

es) from a group of 13 candidates?

1 answer:

madreJ [45] · Answer 1 · 2024-06-19T15:43:46+03:00

The ways to select the candidates from the total is 1716

<h3>How to determine the ways of selection?</h3>

From the question, we have

Total number of candidate, n = 13
Numbers to selection, r = 6 i.e. the president, a treasurer, a secretary, and three other committee members

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 13 and r = 6

Substitute the known values in the above equation

Total = ¹³C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 13!/7!6!

Evaluate

Total = 1716

Hence, the number of ways is 1716