Question:medium
If \( ^nC_2 + ^nC_3 = ^6C_3 \) and \( ^nC_x = ^nC_3, x \neq 3 \), then the value of \( x \) is equal to:
If \( ^nC_2 + ^nC_3 = ^6C_3 \) and \( ^nC_x = ^nC_3, x \neq 3 \), then the value of \( x \) is equal to:
Show Hint
Pascal's Triangle is your best friend for small values. If you forget the formula, just remember that any entry in the triangle is the sum of the two entries directly above it.
Updated On: May 2, 2026
- \( 5 \)
- \( 4 \)
- \( 2 \)
- \( 6 \)
- \( 1 \)
Show Solution
The Correct Option is C
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