Please SHOW ALL WORK TO RECIEVE FULL CREDIT PLEASE ANSWER AL

Please SHOW ALL WORK TO RECIEVE FULL CREDIT!!

PLEASE ANSWER ALL 3 QUESTIONS...

1.You have 14 personnel to assign to four teams of 5, 4, 3, and 2 persons. In how many different ways can you create those teams?

2. A container holds 10 balls labeled 1-10. You select 5 of them at random. How many different selections result?

3. A lock uses a sequence of hexadecimal numbers. No two characters can be repeated across a 6 character code. How many different codes are there?

(1)14C5 * 9C4* 5C3 * 2C2

= (14*13*12*11*10)/(1*2*3*4*5) * (9*8*7*6)/(1*2*3*4) * (5*4*3)/(1*2*3) * 1

=2522520ways

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(2) 10C5 = (10*9*8*7*6)/(1*2*3*4*5)

=252

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(3) 16*15*14*13*12*11 =5765760