MHT CET · Maths · Binomial Theorem
If \({ }^{15} \mathrm{C}_4+{ }^{15} \mathrm{C}_5+{ }^{16} \mathrm{C}_6+{ }^{17} \mathrm{C}_7+{ }^{18} \mathrm{C}_8={ }^{19} \mathrm{C}_{\mathrm{r}}\), then the value of r is equal to
- A 9 or 10
- B 7 or 12
- C 8 or 10
- D 8 or 11
Answer & Solution
Correct Answer
(D) 8 or 11
Step-by-step Solution
Detailed explanation
\({ }^{15} \mathrm{C}_4 + { }^{15} \mathrm{C}_5 = { }^{16} \mathrm{C}_5\) \({ }^{16} \mathrm{C}_5 + { }^{16} \mathrm{C}_6 = { }^{17} \mathrm{C}_6\)
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