There are 6 letters. you are using 5 of them, and none can be repeated. So 6 choices for the 1st letter. 5 choices for the 2nd letter. ... etc.

Answer: \(\displaystyle{6}\cdot{5}\cdot{4}\cdot{3}\cdot{2}={720}\)

Question

asked 2021-05-05

If John, Trey, and Miles want to know how’ |
many two-letter secret codes there are that don't
have a repeated letter. For example, they want to
: count BA and AB, but they don't want to count“ doubles such as ZZ or XX. Jobn says there are
26 + 25 because you don’t want to use the same
letter twice; that’s why the second number is 25.

‘Trey says he thinks it should be times, not plus: 26-25, Miles says the number is 26-26 ~ 26 because you need to take away the double letters. Discuss the boys’ ideas, Which answers are correct, which are not, and why? Explain your answers clearly and thoroughly, drawing ‘on this section’s definition of multiptication.. -

‘Trey says he thinks it should be times, not plus: 26-25, Miles says the number is 26-26 ~ 26 because you need to take away the double letters. Discuss the boys’ ideas, Which answers are correct, which are not, and why? Explain your answers clearly and thoroughly, drawing ‘on this section’s definition of multiptication.. -

asked 2021-05-17

How many permutations of three items can be selected from a group of six? Use the letters A,

B, C, D, E, and F to identify the items, and list each of the permutations of items B, D, and F.

B, C, D, E, and F to identify the items, and list each of the permutations of items B, D, and F.

asked 2021-06-09

If you flip a coin 9 times, you get a sequence of Heads (H) and tails (T).

Solve each question

(a) How many different sequences of heads and tails are possible?

(b)How many different sequences of heads and tails have exactly fiveheads?

c) How many different sequences have at most 2 heads?

Solve each question

(a) How many different sequences of heads and tails are possible?

(b)How many different sequences of heads and tails have exactly fiveheads?

c) How many different sequences have at most 2 heads?

asked 2021-05-22

How many 2-letter code words can be formed from the first 3 letters of the alphabet if no letter can be used more than once?