if 15C3+2×15C4+15C5=17C5
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Answer:
=17C5
Step-by-step explanation:
We know, nCr + nCr-1 = n+1Cr
Therefore,
= 15C3 + 15C4 + 15C4 + 15C5
Arranging the terms,
= 15C4 + 15C3 + 15C5 + 15C4
Applying the property,
= 16C4 + 16C5
= 17C5
Hence proved!
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