ILL MEDAL AND FAN!!
A code is formed using four of these letters: A, B, I, K, N, O, and T. (Note that the order of the letters in the code matters; for example, ABIK is a different code from BAIK. )
The size of the sample space is A.)______ . The probability that the first three letters of the four-letter code are vowels is B.)______ .
A.)
120
360
840
1,680

B.)
1/35
1/60
1/140
101/105 .

Question

ILL MEDAL AND FAN!!
A code is formed using four of these letters: A, B, I, K, N, O, and T. (Note that the order of the letters in the code matters; for example, ABIK is a different code from BAIK. )
The size of the sample space is A.)______ . The probability that the first three letters of the four-letter code are vowels is B.)______ . 
A.)
120
360
840
1,680

B.)
1/35
1/60
1/140
101/105 .

faiqraees · Answer

For the first one: 7P4 since there are 7 items and they have to be put in four spaces

faiqraees · Answer

And for second one (3P3 * 4)/840 since the vowels can be arranged in three ways in three spaces and only four letters can be attached