[455] If a refrigerator contains 12 cans such that 7 blue cans and 5 red cans. In how many ways can we rem

For Competitive Exams

If a refrigerator contains 12 cans such that 7 blue cans and 5 red cans. In how many ways can we remove 8 cans so that atleast 1 blue can and 1 red can remains in the refrigerator.

455

486

475

445

Explanation:

Possible ways to draw 8 balls from the refrigerator which contains atleast 1 blue and 1 red can
after the drawing are (6,2) (5,3) (4,4).

For (6, 2) $\Rightarrow$ 7c6 $\times$ 5c2 $\Rightarrow$ 7 $\times$ 10=70

For (5, 3) $\Rightarrow$ 7c5 $\times$ 5c3 $\Rightarrow$ 21$\times$ 10=210

For (4, 4) $\Rightarrow$ 7c4 $\times$ 5c4 $\Rightarrow$ 35 $\times$ 5=175

So Total ways = 70+210+175=455

Additional Questions

There are 16 people, they divide into four groups, now from those four groups select a team of three members,such that no two members in the team should belong to same group.	Answer
How many five digit numbers are there such that two left most digits are even and remaining are odd and digit 4 should not be repeated.	Answer
7 people have to be selected from 12 men and 3 women, Such that no two women can come together. In how many ways we can select them?	Answer
Tennis players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?	Answer
Find the unit digit of product of the prime number up to 50 .	Answer
If [$x^{1/3}$] - [$x^{1/9}$] = 60 then find the value of x.	Answer
A family X went for a vacation. Unfortunately it rained for 13 days when they were there.But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?	Answer
3,4,7,10,13,16,19,22, . . . Find 10th term in series	Answer
y, _?, q, m, i	Answer
What is the next number in the series 3,7,13,19....	Answer

Share with Friends