a. There are four 5s that can be drawn, and 
ways of drawing any three of them. There are 
ways of drawing any three cards from the deck. So the probability of drawing three 5s is
In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of 
of getting drawn.
b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability 
of being drawn.
c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of 
.
- - -
Note: 
is the binomial coefficient,
Answer: 15504
Step-by-step explanation:
Given : The center for research in data science has a vacancy of 5 interns under a research attachment program.
Number of students applied = 20
The combination of n people taking r at a time is given by :-
Since, all students fulfill the minimum CGPA criteria it means all 20 students are equally eligible.
Then , the number of ways to select a team of 5 interns from all 20 interns :-
Hence, the number of ways to select a team of 5 interns. =
For every 12 foot of boat you have 1 cm on the model.
So the length of the model = 84 / 12 = 7 cms Answer
Given that the figures are similar polygons, the ratio of their ratios should be equal to the square of the ratio of their circumference. If we let x be the lateral area of the smaller cylinder then,
(x/210π) = (24π/60π)²
The value of x from the equation is,
x = 33.6π
Thus, the area of the smaller cylinder is equal to 33.6π mm².
Answer:i think its the second one
Step-by-step explanation:
took the test
