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15C8 + 15C9 – 15C6 – 15C7 = ______.

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0 votes

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asked Sep 6, 2020 in Combinations by Shyam01 (49.0k points)
closed Sep 7, 2020 by Shyam01

Fill in the blanks:

¹⁵C₈ + ¹⁵C₉ – ¹⁵C₆ – ¹⁵C₇ = ______.

permutations and combinations
class-11

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1 Answer

+1 vote

answered Sep 6, 2020 by Chandan01 (50.4k points)
selected Sep 7, 2020 by Shyam01

Best answer

Formula:-

ⁿC_r=ⁿC_n-r

¹⁵C₈+¹⁵C₉-¹⁵C₆-¹⁵C₇

=¹⁵C_15-8+¹⁵C_15-9-¹⁵C₆-¹⁵C₇

=¹⁵C₇+¹⁵C₆-¹⁵C₆-¹⁵C₇=0

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