Answer: 8008
Step-by-step explanation:
Total entrees = 16
Number of entrees to choose = 6
Since order does not matter , so we combinations .
Number of combinations to choose r things out of n = [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
Then, total ways to choose 6 entrees = [tex]C(16,6)=\dfrac{16!}{6!10!}[/tex]
[tex]=\dfrac{16\times15\times14\times13\times12\times11\times10!}{(720)10!}\\\\= 8008[/tex]
Hence, the required number of ways= 8008
