Question

the value of 5C4×4C2 is?​

Answer 1

Answer:

5C4*4C2

12C8

Step-by-step explanation:

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Answer 2

⁵C₄ × ⁴C₂ =  30

Given:

• ⁵C₄ × ⁴C₂

To Find:

• Value

Solution:

• $^{n}C_{r}=\dfrac{n!}{r!(n-r)!}$
• n! = Product of natural numbers from 1 to n

Step 1:

Calculate ⁵C₄

= 5!/(4!(5 - 4)!)

= 5!/(1!4!)

= 5 × 4! /(1 × 4!)

= 5

Step 2:

Calculate  ⁴C₂

= 4!/(2!(4 - 2)!)

= 4!/(2!2!)

=4 × 3 × 2! /((2!2!))

= 12/2!

= 12/2

= 6

Step 3:

Calculate the product Substituting ⁵C₄ = 5 and ⁴C₂ = 6

⁵C₄ × ⁴C₂ = 5 × 6  = 30

Hence, ⁵C₄ × ⁴C₂ =  30