There will be a total of 5040 unique ways to make arrangements of 4 cards out of 10 so option (A) will be correct.
What are permutation and combination?
When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.
The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.
Given the 4 cards arrangement out of 10
npr = n! /(n-r)!
Here n = 10 , r = 4
10p4 = 10! /(10-4)!
10p4 = 10 × 9 × 8 × 7 × 6! /6!
10p4 = 5040
So there will be a total of 5040 ways to arrange the cards.
For more about permutation and combination,
https://brainly.com/question/13387529
#SPJ5
