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NIMCET 2020 Mathematics PYQ — If , then the values of and are: Where,… | Mathem Solvex

A.
16 and 7
B.
16 and 8.
(Correct Answer)
C.
16 and 9
D.
30 and 15

Correct Answer:

16 and 8.

Explanation

Concept

$^{n} C_{r} =^{n} C_{n - r}$

$^{r} C_{x} =^{r} C_{y} \Rightarrow x = y or x + y = n$

$^{n} C_{r} +^{n} C_{r - 1} =^{n + 1} C_{r}$

Calculations

$(8 15) + (7 15) = (r n)$

$\Rightarrow^{15} C_{8} +^{15} C_{7} =^{n} C_{r}$

Using $^{n} C_{r} +^{n} C_{r - 1} =^{n + 1} C_{r}$

$\Rightarrow^{15} C_{8} +^{15} C_{8 - 1} =^{15 + 1} C_{8}$

$\Rightarrow^{16} C_{8} =^{n} C_{r}$

$∴ n = 16 and r = 8$

NIMCET 2020 — Mathematics PYQ

Choose the correct answer:

Explanation

Explanation