Anyone can help me pls don't answer link (Permutation Formula)

1. In how many ways can 2 men and 3 women students line up in a canteen courter?

2. A volt consists of 5 letters and 4 number. How many possible lock codes are there if
a. no repetition of letters and numbers is allowed?
b. repetition of letters and numbers not allowed?

3. In how many ways can 9 horses be arranged in a merry-go-round?

4. SCIS will conduct a online beauty pageant "Search for Bininbing Sipnayan". For this year, 11
students join on the said event. In how many ways can 3rd runner up, 2nd runner up 1st runner
up and the title holder be selected?

5. How many distinct arrangement can be formed from the letters and numbers of following
a. COMMITTEE
b. MISSISSIPPI
c. BOOKKEEPER
d. TATTLER​

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)