Evaluate the following: ^ 12 C_ 10 - Vidyadip

Question

Evaluate the following: $^{12}C_{10}$

✓

Answer

We have, $=\frac{12!}{10!(12-10)!}$ $=\frac{12\times11\times10!}{10!\times2\times1}$ $=66$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 2 marks)" from Binomial Theorem→Binomial Theorem — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let R be a relation on N × N defined by: $(\text{a, b})\text{ R }(\text{c, d})\Leftrightarrow\text{a}+\text{d}=\text{b}+\text{c}$ for all $(\text{a, b}),(\text{c, d})\in\text{N}\times\text{N}$ Show that: $(\text{a},\text{b})\text{ R }(\text{c, d})\Rightarrow(\text{c},\text{d})\text{ R (a, b)}$ for all $\text{(a, b)(c, d)}\in\text{N}\times\text{N}$

Find the modulus and argument of the following complex numbers and hence express each of them in the polar form: $\sqrt{3}+\text{i}$

If 4x + i(3x - y) = 3 + i (-6), where x and y are real numbers, then find the values of x and y.

In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group?

Find the sum of the following geometric progrssions:1, 3, 9, 27, ... to 8 terms

Solve $x^2 + 3x + 9 = 0$

Evaluate the following: $^{10}\text{P}_3$

Is 302 a them of the A.P. 3, 8, , 13, ...?

How many four digit different numbers, greater than 5000 can be formed with the digits 1, 2, 5, 9, 0 when repetition of digits is not allowed?

Let A = {x : x $\in$ N}, B = {x : x = 2n, n $\in$ N}, C = {x : x = 2n - 1, n $\in$ N} and D = {x : x is a prime natural number}. Find:
$\text{A}\cap\text{C}$