In a 6/42 lotto game, how many different bets are possible?. Created by kurdapyabeds. Math

In a 6/42 lotto game, how many different bets are possible?5,245,786Solution:Get the combination of 6 numbers from set of 42 numbers.C(42,6) using combination formula* as always, double check my answers for errors or carelessness.#NO TO GUESS GUESS, TSAMBA TSAMBA & COPY PASTE SOLUTION!≧◠‿◠≦✌✓✓✓ Press that brainliest button if this was helpful. ✓✓✓• • • Follow for more math solutions and fun facts! • • •

42 lotto game, how many different bets are possible?...

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kurdapyabeds @kurdapyabeds

August 2022 1 2 Report

In a 6/42 lotto game, how many different bets are possible?

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rktmobilez

In a 6/42 lotto game, how many different bets are possible?

5,245,786

Solution:

Get the combination of 6 numbers from set of 42 numbers.

C(42,6)

using combination formula

$\sf C(n,r) = \frac{n!}{r!(n-r)!}\\\\\sf C(42,6) = \frac{42!}{6!(42-6)!}\\\\\sf C(42,6) = \frac{42!}{6!36!}\\\\\sf C(42,6) = \frac{42\times41\times40\times39\times38\times37\times36!}{6! 36!}\\\\ \text{\sf 36! cancels out}\\\\\sf C(42,6) = \frac{42\times41\times40\times39\times38\times37\times\cancel{36!}}{6! \times \cancel{36!}}\\\\\sf C(42,6) = \frac{42\times41\times40\times39\times38\times37}{6 \times 5\times4\times3\times2\times1}\\\\\sf C(42,6) = 5,245,786$

$\therefore \boxed{\text{\sf There are 5,245,786 possible bet combinations.}}$

* as always, double check my answers for errors or carelessness.

#NO TO GUESS GUESS, TSAMBA TSAMBA & COPY PASTE SOLUTION!

≧◠‿◠≦✌

✓✓✓ Press that brainliest button if this was helpful. ✓✓✓

• • • Follow for more math solutions and fun facts! • • •

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