P = ^14C_10 = 14!/10!(14 10)! P = 14!/10!× 4! = 14× 13× 12× 11× 10!/10!× 4! P = 14× 13 = 182. [P = 182] #160; ...

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Standard XI

Mathematics

Finding Integral part of numbers of the form a^b where a is irrational

Evaluate : ...

Question

Evaluate : $^{14} C_{10}$

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Solution

$P =^{14} C_{10} = \frac{14!}{10! (14 - 10)!}$
$P = \frac{14!}{10! \times 4!} = \frac{14 \times 13 \times 12 \times 11 \times 10!}{10! \times 4!}$
$P = 14 \times 13 = 182.$
$[P = 182]$

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Evaluate : 14C10

P=14C10=14!10!(14−10)!P=14!10!×4!=14×13×12×11×10!10!×4!P=14×13=182.[P=182]

Evaluate : $^{14} C_{10}$

$P =^{14} C_{10} = \frac{14!}{10! (14 - 10)!}$
$P = \frac{14!}{10! \times 4!} = \frac{14 \times 13 \times 12 \times 11 \times 10!}{10! \times 4!}$
$P = 14 \times 13 = 182.$
$[P = 182]$