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

### Question

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

### Options

A) 128

B) 216

C) 215

D) 210

$$^{10}C_6 = \frac{10!}{(10-6)!6!}\\=\frac{10!}{4!6!}\\=\frac{10\times 9\times 8 \times 7 \times 6!}{4\times 3\times 2\times 1 \times 6!}\\=210$$
• $$^{10}C_6 = \frac{10!}{(10-6)!6!}\\=\frac{10!}{4!6!}\\=\frac{10\times 9\times 8 \times 7 \times 6!}{4\times 3\times 2\times 1 \times 6!}\\=210$$