Answer:

1. 120

2. 90

3. 55,440

Step-by-step explanation:

DISTINGUISHABLE PERMUTATION FORMULA

P=n!/p!q!r!s!

1.) CHEESE: C-1   H-1    E-3   S-1

P= 6!/ 3!1!1!1!

P= 6!/3!

P= 6x5x4x3x2x1/ 3x2x1 (cancel the 3x2x1 divisor and dividend))

P=6x5x4

P= 120

2.) BALLISTICS:  B-1   A-1   L-2   I-2   S-2   T-1   C-1

P= 10!/2!2!2!1!

P=10!/8!

P=10x9x8x7x6x5x4x3x2x1/ 8x7x6x5x4x3x2x1 (cance the 8x7x6x5x4x3x2x1 divisor and dividend))

P=10x9

P= 90

3. BILLIONAIRE:  B-1   I-3   L-2   O-1   N-1   A-1    R-1    E-1

P=11!/3!2!1!

P=11!/ 6!

P= 11x10x9x8x7x6x5x4x3x2x1/ 6x5x4x3x2x1 (cancel the 6x5x4x3x2x1 divisor and dividend)

P=11x10x9x8x7

P= 55,440