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nCr Definitions and Properties

If 28 C 2r ...

Question

If $^{28} C_{2 r} :^{24} C_{2 r} = 225 : 11$ , then find the value of $r$

A

r = 4

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B

r = 3

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C

r = 7

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D

r = 8

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^{28} C_{2 r} :^{24} C_{2 r - 4} = 225 : 11,

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{^{28} C}_{2 r} + {^{24} C}_{2 r - 4} = 225 : 11

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{^{28} C}_{2 r} : {^{24} C}_{2 r - 4} = 225 : 11

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^{28} C_{2 r} :^{24} C_{2 r - 4} = 225 : 11

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^{14} C_{2 r} :^{10} C_{2 r - 4} = 143 : 90

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