If nC9 = nC8 find nC17?

This question was previously asked in
AAI ATC Junior Executive 25 March 2021 Official Paper (Shift 2)
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  1. 17
  2. 9
  3. 2
  4. 1

Answer (Detailed Solution Below)

Option 4 : 1
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Detailed Solution

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Given:

nC9 = nC8

Formula Used:

nCr = 

Calculation:

We have,

nC9 = nC8

⇒ 

⇒ 

⇒ 

⇒ 

⇒ n - 8 = 9

⇒ n = 17

Now we have to find nC17

Putting n = 17

⇒ 17C17

⇒ 

⇒ 

⇒ 

⇒ 1

∴ The value of nC17 is 1

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