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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen?
Solution:
Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by,
nCr = n!/ r! (n - r)! where 0 ≤ r ≤ n.
Substituting the values in the formula
5C3 = 5!/ 3! (5 - 3)!
By further calculation
5C3 = (5 × 4 × 3 × 2 × 1)/ (3 × 2 × 2)
5C3 = 10
Therefore, 10 different groups of 3 employees can be chosen.
From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen?
Summary:
From 5 employees at a company, a group of 3 employees will be chosen to work on a project. 10 different groups of 3 employees can be chosen.
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