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Out of a group of seven ees and five mes, a committee consisting of three ees and two mes is to be formed. in how many ways can this be done if:

Respuesta :

This is a combination problem. 
Number of ways to select three ees from seven ees are = [tex] 7_{C}_{3} = 35 [/tex]

Number of ways to select two mes from five mes are = [tex] 5_{C}_{2} = 10 [/tex]

For each of the 35 groups of ees 10 groups of mes can be formed. So the total number of groups that can be formed will be 35 x 10 = 350

So there are 350 ways to form such a committee with three ees and two mes from a group of seven ees and five mes.

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