Question

Find the number of strings of 4 letters thatcan be formed with the letters of the wordEXAMINATION?​

Answer 1

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The word examination has 11 letters. It is composed of 8 different letters, 3 of which repeat once.

The word examination has 11 letters. It is composed of 8 different letters, 3 of which repeat once.As Andre suggests, break it down into three cases.

The word examination has 11 letters. It is composed of 8 different letters, 3 of which repeat once.As Andre suggests, break it down into three cases.All different. Choose the four letters out of the eight you'll use (84), and then order them (4!).

The word examination has 11 letters. It is composed of 8 different letters, 3 of which repeat once.As Andre suggests, break it down into three cases.All different. Choose the four letters out of the eight you'll use (84), and then order them (4!).One double. Choose which of the three letters is the double (31), then choose which positions they go in the word (42). Then, choose the two remaining letters (72), and decide which goes first and which goes second in the remaining two spaces (2!).

The word examination has 11 letters. It is composed of 8 different letters, 3 of which repeat once.As Andre suggests, break it down into three cases.All different. Choose the four letters out of the eight you'll use (84), and then order them (4!).One double. Choose which of the three letters is the double (31), then choose which positions they go in the word (42). Then, choose the two remaining letters (72), and decide which goes first and which goes second in the remaining two spaces (2!).Two doubles. Choose which two of the three doubled letters to use (32), then order them (6).

The word examination has 11 letters. It is composed of 8 different letters, 3 of which repeat once.As Andre suggests, break it down into three cases.All different. Choose the four letters out of the eight you'll use (84), and then order them (4!).One double. Choose which of the three letters is the double (31), then choose which positions they go in the word (42). Then, choose the two remaining letters (72), and decide which goes first and which goes second in the remaining two spaces (2!).Two doubles. Choose which two of the three doubled letters to use (32), then order them (6).Adding all of these gives 2454.

The word examination has 11 letters. It is composed of 8 different letters, 3 of which repeat once.As Andre suggests, break it down into three cases.All different. Choose the four letters out of the eight you'll use (84), and then order them (4!).One double. Choose which of the three letters is the double (31), then choose which positions they go in the word (42). Then, choose the two remaining letters (72), and decide which goes first and which goes second in the remaining two spaces (2!).Two doubles. Choose which two of the three doubled letters to use (32), then order them (6).Adding all of these gives 2454.share improve this answer