My Learning Cart
?
Categories
Account

In how many ways can 2 out of 5 different fruits be selected?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In how many ways can 2 out of 5 different fruits be selected?

Options:

  1. 10
  2. 15
  3. 20
  4. 5

Correct Answer: 10

Solution: 

The number of ways to choose 2 fruits from 5 is C(5, 2) = 10.

In how many ways can 2 out of 5 different fruits be selected?

Practice Questions

Q1
In how many ways can 2 out of 5 different fruits be selected?
  1. 10
  2. 15
  3. 20
  4. 5

Questions & Step-by-Step Solutions

In how many ways can 2 out of 5 different fruits be selected?
Correct Answer: 10
  • Step 1: Understand that we have 5 different fruits.
  • Step 2: We want to select 2 fruits from these 5.
  • Step 3: The formula to find the number of ways to choose 'r' items from 'n' items is called 'combinations' and is written as C(n, r).
  • Step 4: In our case, n = 5 (the total number of fruits) and r = 2 (the number of fruits we want to select).
  • Step 5: The formula for combinations is C(n, r) = n! / (r! * (n - r)!).
  • Step 6: Calculate C(5, 2) using the formula: C(5, 2) = 5! / (2! * (5 - 2)!).
  • Step 7: Calculate 5! = 5 × 4 × 3 × 2 × 1 = 120.
  • Step 8: Calculate 2! = 2 × 1 = 2.
  • Step 9: Calculate (5 - 2)! = 3! = 3 × 2 × 1 = 6.
  • Step 10: Now plug these values into the formula: C(5, 2) = 120 / (2 * 6).
  • Step 11: Calculate the denominator: 2 * 6 = 12.
  • Step 12: Now divide: 120 / 12 = 10.
  • Step 13: Therefore, there are 10 different ways to select 2 fruits from 5.
  • Combinations – The concept of combinations is used to determine the number of ways to select items from a larger set where the order of selection does not matter.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks