Evaluate the following: ^ 35 C_ 35 - Vidyadip

Question

Evaluate the following: $^{35}C_{35}$

✓

Answer

We have, $=\frac{35!}{35!(35-35)!}$ $=1$

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

Five cards are drawn from a well-shuffled pack of 52 cards. Find the probability that all the five cards are hearts.

For the function $f(x) = \frac{{{x^{100}}}}{{100}} + \frac{{{x^{99}}}}{{99}} + ... + \frac{{{x^2}}}{2} + x + 1$ prove that f'(1) = 100f'(0)

Express the following complex numbers in the standard form a + ib: $\frac{1-\text{i}}{1+\text{i}}$

Prove that: 3 sin $\frac { \pi } { 6 }$ sec $\frac { \pi } { 3 }$ - 4 sin $\frac { 5 \pi } { 6 }$ cot $\frac { \pi } { 4 }$ = 1.

Show the following quadratic equation by factorization method: $x^2+(1-2 i) x-2 i=0$

For each of the following compound statements first identify the connecting words and then break it into component statements. Square of an integer is positive or negative.

2 boys and 2 girls are in a Room X and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B= {2, 3, 5, 7}, verify that: (A $\cap$ B)' = A' $\cup$ B'.

Find the equation of the line which satisfy the given conditions:
Passing through $(2,2 \sqrt{3})$ and inclined with the x-axis at an angle of $75^o$.

Find x From the following equation: $\text{ x}\cot\Big(\frac{\pi}{2}+\theta\Big)+\tan\Big(\frac{\pi}{2}\Big)\sin\theta=\text{coses}\Big(\frac{\pi}{2}+\theta\Big)=0$