Question To win the LOTTO, you must correctly select 8 numbers from 46. The order does not matter. There are $\binom{46}{8}$ possible selections.

Studdy Solution
Perform the final calculation to get the number of different selections possible.
$$C(46, 8) = 23 \cdot 44 \cdot 43 \cdot 42 \cdot 41 \cdot 10 \cdot 39$$
$$C(46, 8) = 23 \cdot 44 \cdot 43 \cdot 42 \cdot 41 \cdot 390$$
$$C(46, 8) = 23 \cdot 44 \cdot 43 \cdot 42 \cdot 16010$$
$$C(46, 8) = 23 \cdot 44 \cdot 43 \cdot 672420$$
$$C(46, 8) = 23 \cdot 44 \cdot 28914180$$
$$C(46, 8) = 23 \cdot 1272223920$$
$$C(46, 8) = 29261070060$$
There are $29,261,070,060$ different LOTTO selections.