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xz_007 [3.2K]
3 years ago
12

Evaluate the given expression 10c4 • 4c2 1,260 1,278 1,275 1,270

Mathematics
2 answers:
vfiekz [6]3 years ago
7 0

Answer:

The correct option is 1.

Step-by-step explanation:

According to the combination formula:

^nC_r=\frac{n!}{r!(n-r)!}

The given expression is

^{10}C_4\cdot ^4C_2

Using combination formula, the given expression can be written as

\frac{10!}{4!(10-4)!}\cdot \frac{4!}{2!(4-2)!}

\frac{10!}{4!6!}\cdot \frac{4!}{2!2!}

\frac{10\times 9\times 8\times 7\times 6!}{4!6!}\cdot \frac{4!}{2\times 1\times 2\times 1}

Cancel out the common factorials.

\frac{10\times 9\times 8\times 7}{1}\cdot \frac{1}{4}

\frac{5040}{4}

1260

Therefore the correct option is 1.

erastovalidia [21]3 years ago
4 0

10c^4 * 4 c^2

40 c^2

we need to know the value of c to evaluate

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