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Find the number of ways of selecting 6 out of 1... - JAMB Mathematics 2008 Question

Find the number of ways of selecting 6 out of 10 subjects for an examination

A
218
B
216
C
215
D
210
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Correct Option: D

(^{10}C_{6})

(\frac{10!}{(n - r)!r!})

n = 10, r = 6

= (\frac{10!}{(10 - 6)!6!})

= (\frac{10!}{4!6!})

= (\frac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2 \times 1})

= 5 x 3 x 2 x 7

= 210

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