Question

in how many ways 4 people be selected from group of 6 among Anil is one how many of these include Anil

Answer 1

i think that,

ways of selecting 4 people from group of 6 is
6C4
ways of selecting anil from that 4 people is
4C1
so, ways of in which no anil will be 6C4-4C1
and ways in which there will be anil can be
6C4-(6C4-4C1)

Answer 2

Answer: There are 10 ways to include Anil.

Step-by-step explanation:

Since we have given that

Number of people in a group = 6

Number of people to be selected = 4

Anil is among group of 6 people.

and he has to be chosen.

So, Remaining people in the group = 5

Number of people required = 3

So, we will use "Combination":

$^5C_3\\\\=\frac{5!}{3!\times 2!}\\\\=10$

Hence, there are 10 ways to include Anil.