Question

Out of 5 boys and 5 girls , a group of 5 has to be formed containing at least 3 boys, in how many ways can this be done ?

Answer 1

☺☺☺☺..........................

Answer 2

Answer: There are 46 ways this can be done.

Step-by-step explanation:

Since we have given that

Number of boys = 5

Number of girls = 5

Number of person needed in a group =5

According to question, there should be atleast 3 boys.

So, we will use "Combination":

$^5C_3\times ^5C_2+^5C_4\times ^5C_1+^5C_5\\\\=\frac{5\times 4}{2\times 1}+\frac{5\times 4}{2\times 1}+5\times 5+1\\\\=10+10+25+1\\\\=20+25+1\\\\=46\ ways$

Hence, there are 46 ways this can be done.