GROUP. Aptitude SECTION Quant Math Ability
QUESTION: 6
Mark(s): 1
Suppose in a box there are 25 red 35 blue 45 yellow 75
getting Bred 4 blue 5 yellow, 10 green balls?
Answers
Answer:
then it must be a rubiks cube
Step-by-step explanation:
Therefore the total number of getting 3 red, 4 blue 5 yellow, and 10 green balls from a box containing 25 red, 35 blue, 45 yellow, and 75 green in a box ²⁵C₃ × ³⁵C₄ × ⁴⁵C₅ × ⁷⁵C₁₀ ways.
Given:
There are 25 red, 35 blue, 45 yellow, and 75 green in a box.
To Find:
The total number of getting 3 red, 4 blue 5 yellow, and 10 green balls from a box containing 25 red, 35 blue, 45 yellow, and 75 green in a box.
Solution:
The given question can be solved very easily as shown below.
⇒ The number of ways of getting 3 red balls from 25 red balls = ²⁵C₃ = ( 25 × 24 × 23 )/( 3 × 2 × 1) = 25 × 4 × 23 = 2300 ways
⇒ The number of ways of getting 4 blue balls from 35 blue balls = ³⁵C₄ = ( 35×34×33×32 )/(4×3×2×1) = (35×17×11×8) = 52360 ways
⇒ The number of ways of getting 5 yellow balls from 45 yellow balls = ⁴⁵C₅ ways
⇒ The number of ways of getting 10 green balls from 75 green balls = ⁷⁵C₁₀ ways
The total number of ways = ²⁵C₃ × ³⁵C₄ × ⁴⁵C₅ × ⁷⁵C₁₀ ways
Therefore the total number of getting 3 red, 4 blue 5 yellow, and 10 green balls from a box containing 25 red, 35 blue, 45 yellow, and 75 green in a box ²⁵C₃ × ³⁵C₄ × ⁴⁵C₅ × ⁷⁵C₁₀ ways.
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