Question

A bag contains 7 red balls and 5 white balls. Determine the number of ways in which 3 red balls and 2 white balls can be selected.​

Answer 1

Answer:

red balls white balls

7 5

no. of ways in which red balls selected = 7C3

no. of ways in which white balls selected = 5C2

7C3 × 5C2 = 35 × 10 = 350 waystl

Answer 2

SOLUTION

GIVEN

A bag contains 7 red balls and 5 white balls.

TO DETERMINE

The number of ways in which 3 red balls and 2 white balls can be selected.

EVALUATION

Total number of red balls = 7

The number of ways in which 3 red balls can be selected

$\sf{ = {}^{7} C_3}$

$\displaystyle \sf{ = \frac{7!}{3! \: 4!} }$

$\displaystyle \sf{ = \frac{7 \times 6 \times 5}{3 \times 2} }$

$\displaystyle \sf{ =35}$

Total number of white balls = 5

The number of ways in which 2 white balls can be selected

$\sf{ = {}^{7} C_3}$

$\displaystyle \sf{ = \frac{5!}{2! \: 3!} }$

$\displaystyle \sf{ = \frac{5 \times 4}{2} }$

$\displaystyle \sf{ = 10 }$

Hence the required total number of ways

= 35 × 10

= 350

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The sun rises from north. What is the probability

https://brainly.in/question/25984474

2. probability of a 10 year flood occurring at least once in the next 5 years is

https://brainly.in/question/23287014