Test: Binomial Series - Ambitious

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Question 1:   Find the value of 16! 13!
3360
16 13
240
0
Question 2:   Find the value of 4! 0!
Does not exist
1
0
24
Question 3:   Knowing that combinational coefficient C r n = n! ( nr )r! , find C 1 5
1
25
5
0
Question 4:   Simplify: ( 3n )! ( 3n+2 )!
1 ( 3n+2 )( 3n+1 )
3n 3n+2
1 ( 3n+3 )( 3n+2 )
1 ( 3n+3 ) 2
Question 5:   Find the coefficient of x 4 in the binomial expansion of ( 2 3 x ) 9
1 x 4
647378 x 4
353682 x 4
326592 x 4
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