In: Advanced Math
How many distinct arrangements of the letters in MANANGATANG are there in which the first two letters include an M or a T (or both)?
Note:
- MANANGATANG has 11 letters (one M, one T, two Gs, three Ns and four As).
- These are all the possible positionings of T and M in the first two positions:
| M | |
| M | |
| T | |
| T | |
| M | T |
| T | M |
PLEASE SHOW FULL LEGIBLE WORKING.