Question

In a small class, there are 8 men and 3 women. A group of 2 men and 1 woman is chosen to do a project together. How many different possible groups can be formed?
A) 168
B) I don't know.
C) 42
D) 31
E )None of the above.
F) 84

Answer 1

correct answer is D

8c2+3c1 where c is Combinations

so 28+3

31

Answer 2

Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Number of men = 8

Number of women = 3

Number of men to be chosen = 2

Number of women to be chosen = 1

So, the number of different possible groups that can be formed is given by

$^8C_2\times ^3C_1\\\\=56\times 3\\\\=168$

Hence, Option 'A' is correct.

# learn more:

There are five women and six men in a group. From this group a committee of 4 is to be chosen. How many different ways can a committee be formed that contain three women and one man?

A.55

B.60

C.25

D.192

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