can you check my answers?
1.Find the binomial coefficient.
12C3
1320
17740800
48
220
answer:d
2.Find the binomial coefficient.
(10/7)
720
120
240
172800
answer:b
3.Which of the following is equivalent to 10C6?
6C10
16C10
10C4
10C10
answer:c
correct
Sure, I can help you check your answers. Let's go through each question one by one:
1. To find the binomial coefficient, you use the formula nCk, which represents the number of ways to choose k items from a set of n items, without regard to order.
For the first question, you need to find 12C3.
Using the formula, 12C3 = 12! / (3! * (12-3)!) = 12! / (3! * 9!) = (12 * 11 * 10) / (3 * 2 * 1) = 220.
Looking at the options, the correct answer is 220, which is option e.
2. Similarly, for the second question, you need to find the binomial coefficient for (10/7).
However, the binomial coefficient is only defined for whole numbers. The formula nCk only works when n and k are positive integers. Since (10/7) is not a whole number, we cannot find its binomial coefficient.
None of the given options are correct. The answer is none of the above.
3. Finally, for the third question, you are asked to find the binomial coefficient equivalent to 10C6.
Using the formula, 10C6 = 10! / (6! * (10-6)!) = 10! / (6! * 4!) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1) = 210.
Looking at the options, the correct answer is 210, which is option c.
So, the correct answers are:
1. d - 220
2. None of the above
3. c - 210
I hope this helps! Let me know if you have any additional questions.