If n C 4- n C 5- then the value of n C 2 isA- 10B- 28C- 21D- 36

Name: JEE- Grade 11- Mathematics- Binomial Theorem- Session 01- W01
Uploaded: 2022-07-04T10:36:42+05:30
Description: The correct option is D 36As ^nC_4 = ^nC_5, so n = 4+5 = 9 Now, ^9C_2 = 9!7!2! = 9× 82 = 36 nbsp; ...

The correct option is D 36As ^nC_4 = ^nC_5, so n = 4+5 = 9 Now, ^9C_2 = 9!7!2! = 9× 82 = 36 nbsp; ...

If n C 4= n C...

Question

If $^{n} C_{4} =^{n} C_{5}$ , then the value of $^{n} C_{2}$ is

10

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28

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21

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36

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Solution

The correct option is D $36$
As $^{n} C_{4} =^{n} C_{5}$ , so
$n = 4 + 5 = 9$
Now,
$^{9} C_{2} = \frac{9!}{7! 2!} = \frac{9 \times 8}{2} = 36$

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Pascal Triangle

Standard XII Mathematics

If nC4= nC5, then the value of nC2 is

The correct option is D 36As nC4= nC5, so n=4+5=9 Now, 9C2=9!7!2!=9×82=36

If $^{n} C_{4} =^{n} C_{5}$ , then the value of $^{n} C_{2}$ is

The correct option is D $36$
As $^{n} C_{4} =^{n} C_{5}$ , so
$n = 4 + 5 = 9$
Now,
$^{9} C_{2} = \frac{9!}{7! 2!} = \frac{9 \times 8}{2} = 36$