If 48 C 3 r -2-48 C 2 r Find the value of rA- 20B- 2C- 10D- 1

The correct options are B 2 C 10 ^nC_x = ^nC_y ⇒ x=y or x+y = n ⇒ 3r 2=2r or 3r 2+2r=48 ⇒ r=2 or 5r=50 ⇒ r=2 or 10 ...

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Standard XI

Mathematics

Complex Plane

If 48 C 3 r -...

Question

If $^{48} C_{3 r - 2} =^{48} C_{2} r$ Find the value of r

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Solution

The correct options are
B
2

C
10

$^{n} C_{x} =^{n} C_{y}$ $\Rightarrow$ x=y or x+y = n
$\Rightarrow$ 3r-2=2r or 3r-2+2r=48
$\Rightarrow$ r=2 or 5r=50
$\Rightarrow$ r=2 or 10

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If 48C3r−2=48C2r Find the value of r

The correct options are B 2 C 10 nCx=nCy ⇒ x=y or x+y = n ⇒ 3r-2=2r or 3r-2+2r=48 ⇒ r=2 or 5r=50 ⇒ r=2 or 10

If $^{48} C_{3 r - 2} =^{48} C_{2} r$ Find the value of r

The correct options are
B
2

C
10

$^{n} C_{x} =^{n} C_{y}$ $\Rightarrow$ x=y or x+y = n
$\Rightarrow$ 3r-2=2r or 3r-2+2r=48
$\Rightarrow$ r=2 or 5r=50
$\Rightarrow$ r=2 or 10