Question

27. A box contains 7 red, 6 white and 4 blue balls. How many selections of three balls on of each colour?
(a) 178
(b) 158
(c) 198
(d) 168​

Answer 1

Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of red balls = 7

Number of white balls = 6

Number of blue balls = 4

We need to select 3 balls of each colour.

So, selecting 1 ball from red ball = $^7C_1=7$

Selecting 1 ball from white ball =   $^6C_1=6$

Selecting 1 ball from blue ball =  $^4C_1=4$

So, Total number of ways of selecting of three balls of each color is given by

$7\times 6\times 4=168$

Hence, Option 'd' is correct.

#learn more:

A box contains 7 red,6 white and 4 blue balls how many selections of 3 balls of each colour?

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