In a group of 5 boys and 5 girls, how many teams of 8 persons can be selected by choosing at least 4

M4maths Previous Puzzles

17 Feb 2012 group

In a group of 5 boys and 5 girls, how many teams of 8 persons can be selected by choosing at least 4 boys and 3 girls at a time.

OPtion

1) 35
2) 10
3) 25
4) 56
5) 64
6) 50
7) 102
8) 120
9) 180
10) none of these

Solution

methods of selecting 4 boys and 4 girls = 5*5 = 25
methods of selecting 5 boys and 3 girls = 1*(5*4/2) = 10
total methods = 25+10 = 35

Correct Option: 1 Best Solution (10)

A.P.Singh   12 years AGO

teams of 8 persons can be selected by choosing at least 4 boys and 3 girls at a time.

so possible arrangements are
4 boys and 4 girls ... 5*5=25 teams
5 boys and 3 girls ... 1*10= 10 teams

so total 25+10=35 teams are possible.

Like? Yes (9) | No (3)  

Garima   12 years AGO

Teams with 4 boys 4 girls = 5*5=25
Teams with 5 boys 3 girls = 1*10=10


Total teams = 25+10=35

Like? Yes (5) | No (1)  

Jeevan   12 years AGO

Teams with 5 boys and 3 girls = 1*10=10
4 boys + 4 girls teams = 5*5=25
total 25+10=35

Like? Yes (5) | No (1)  

Atul   12 years AGO

No. of teams with 5 boys 3 girls = 1*10=10

Teams with 4 boys 4 girls = 5*5=25


Total possible teams = 10+25=35

Like? Yes (5) | No (1)  

Sreenivasa Chowdary Nellore   12 years AGO

We can have 4 boys and 4 girls

5C4*5C4 = 25

OR

5 BOYS AND 3 GIRLS

5C5*5C3 = 10

HENCE TOTAL 35 POSSIBILITIES ARE THERE

Like? Yes (6) | No (3)  

Shiv Kumar   12 years AGO

Possible ways are :
( 5 boys, 3 Girls) no. of ways=5C5 * 5C3 =1*10 =10
and
(4 boys, 4 Girls) no. of ways= 5C4 * 5C4 =5*5 =25

Total no. of possible ways = 10 + 25 = 35

Like? Yes (5) | No (3)  

Khushboo Porwal   12 years AGO

5C4*5C4 + 5C5*5C3
5*5 + 1*10
25+10=35

Like? Yes (5) | No (3)  

J.P.Raja Suresh   12 years AGO

=(5c4*5c4)+(5c5*5c3)
=((5*4*3*2\4*3*2) * (5*4*3*2\4*3*2)) + (1 * (5*4*3\3*2))
=(5*5)+(1*10)
=25+10
Ans : 35

Like? Yes (1) | No   

prem kumar.s   12 years AGO

5C4 x 5C4
5*4*3*2/1*2*3*4=5
5C4 x 5C4
5*4*3*2/1*2*3*4=5
5C5 x 5C4
5*4*3*2/1*2*3*4=5

Like? Yes (4) | No (3)  

Pratik Goyal   12 years AGO

reason is only two cases are possible
one is when we select 4 boys and 4 girls
and the second one is when we select 5 boys and 3 girls......
then to select 4 boys and 4 girls 25 ways are there
and to select 5 boys and 3 girls only 10 ways r there thats y the total is 25+10=35

Like? Yes (1) | No (5)