Can you please tell us the equations or expressions?
Answer:
(a) 3003 ways
(b) 10897286400 ways
(c) 3002 ways
Step-by-step explanation:
Given
--- 15 players
Solving (a) Ways of selecting 10 players.
This implies combination.
So, we have:

Using:

We have:


Simplify





Solving (b) Ways of assigning positions to 10 players.
This implies permutation.
So, we have:

Using:

We have:


Solve each factorial


Solving (c) Ways of choosing at least 1 woman
We have:


Ways of selecting 10 players is: (a) 3003 ways
Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)
Using complement rule:
At least 1 woman = Total - No woman


Answer:
The answer is C :) (x + 1)(x-3)(x-5)
Step-by-step explanation:
Sets of 7 with 1 left over : 8,15,22,29,36,43,50,57,64,71,78,85,92,99,106,113,120,127,134,141,148,155,162,169,176,183,190,197
sets of 8 with 7 left over :
15,23,31,39,47,55,63,71,79,87,95,103,111,119,127,135,143,151,159,167,175,183,191,200
sets of 15 with 3 left over : since we have 183 in both the previous ones we did....lets try it...183/15 = 12 R 3
so ur answer is 183 spoons <== there is probably an easier way to do this, I just dont know it