Question

How many subsets of three elements each exist in a set of six elements

A.3!
B.C (6,3)
C.P (6,3)

Answer 1

Answer is B. C (6,3)

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

Total number of elements a set has = 6

Number of elements in each subsets has = 3

We need to find the number of subsets of three elements each exist in a set of 6 elements.

So, we will use "Combination ":

`^6C_3=C(6,3)=(6!)/(3!* 3!)=20`

Hence, Option 'B' is correct.