Problem 4

Probability Level 1

Four pupils are to be selected to form a team for a competition. If eight pupils are under consideration for selection, find the number of ways in which this team may be selected.

Check out the set: Combinatorics .
320 1680 192 70

Angela Fajardo by Angela Fajardo , 19, Philippines

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1 solution

Tapas Mazumdar
Sep 30, 2016

Relevant wiki: Combinations - Problem Solving

Ways to select 4 4 objects(here, children) from 8 8 objects, if order is not kept in mind is given by:

N = ( 8 4 ) = 8 ! 4 ! × 4 ! = 70 N = \begin{pmatrix} 8 \\ 4 \end{pmatrix} = \dfrac{8!}{4! \times 4!} = \boxed{70}

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